{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "78c816ca",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6ac7f64b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First Experiment\n",
    "# Loss versus Degree\n",
    "degree_set = [1, 2, 4, 6]\n",
    "fig, axs = plt.subplots(1, 4)\n",
    "fig.set_figwidth(16)\n",
    "fig.set_figheight(6)\n",
    "for i in range(len(degree_set)):\n",
    "    globals()[f\"Data_deg{degree_set[i]}\"] = np.loadtxt(os.path.join('Degree', f\"Loss_degree{degree_set[i]}\"))\n",
    "    columns = [\"RF\", \"OLS\", \"Ridge\", \"MOM\", \"SPO+\", \"MOM-OGD\"]\n",
    "    globals()[f\"Data_deg{degree_set[i]}\"] = pd.DataFrame(globals()[f\"Data_deg{degree_set[i]}\"], columns = columns)\n",
    "    columns = [\"RF\", \"OLS\", \"Ridge\", \"SPO+\", \"MOM\", \"MOM-OGD\"]\n",
    "    globals()[f\"Data_deg{degree_set[i]}\"] = globals()[f\"Data_deg{degree_set[i]}\"].reindex(columns = columns)\n",
    "    sns.boxplot(data = globals()[f\"Data_deg{degree_set[i]}\"], showfliers = False, ax=axs[i])\n",
    "    axs[i].set_title(f\"Degree {degree_set[i]}\", fontsize=22)\n",
    "    if i == 0:\n",
    "        axs[i].set_ylabel('Relative Loss', fontsize=22)\n",
    "    axs[i].tick_params(axis='x', rotation=45, labelsize=18)\n",
    "    axs[i].tick_params(axis='y', labelsize=18)\n",
    "\n",
    "x = 0.05\n",
    "y = 0.025\n",
    "fig.text(0.0+x, 1.0+y, 'Random Forest',\n",
    "         backgroundcolor=sns.color_palette()[0], \n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.12+x, 1.0+y, 'Ordinary Least Squares',\n",
    "         backgroundcolor=sns.color_palette()[1],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.30+x, 1.0+y, 'Ridge Regression',\n",
    "         backgroundcolor=sns.color_palette()[2],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.437+x, 1.0+y, 'SPO+',\n",
    "         backgroundcolor=sns.color_palette()[3],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.491+x, 1.0+y, 'Maximum Optimality Margin',\n",
    "         backgroundcolor=sns.color_palette()[4],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.707+x, 1.0+y, 'MOM-Online Gradient Descent',\n",
    "         backgroundcolor=sns.color_palette()[5],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment1-1.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment1-1.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "67b62085",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1152 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First Experiment\n",
    "# Residual versus Degree\n",
    "degree_set = [1, 2, 4, 6]\n",
    "fig, axs = plt.subplots(2, 2)\n",
    "fig.set_figwidth(16)\n",
    "fig.set_figheight(16)\n",
    "for i in range(len(degree_set)):\n",
    "    globals()[f\"Data_deg{degree_set[i]}\"] = np.loadtxt(os.path.join('Degree', f\"Error_degree{degree_set[i]}\"))\n",
    "    columns = [\"RF\", \"OLS\", \"Ridge\", \"MOM\", \"SPO+\", \"MOM-OGD\"]\n",
    "    globals()[f\"Data_deg{degree_set[i]}\"] = pd.DataFrame(globals()[f\"Data_deg{degree_set[i]}\"], columns = columns)\n",
    "    sns.boxplot(data = globals()[f\"Data_deg{degree_set[i]}\"], showfliers = False, ax=axs[int(i/2), i%2])\n",
    "    axs[int(i/2), i%2].set_title(f\"Relative Residual, Degree {degree_set[i]}\", fontsize=22)\n",
    "    axs[int(i/2), i%2].set_ylabel('Relative Residual', fontsize=18)\n",
    "    axs[int(i/2), i%2].tick_params(axis='x', rotation=45, labelsize=18)\n",
    "    axs[int(i/2), i%2].tick_params(axis='y', labelsize=18)\n",
    "\n",
    "fig.suptitle(\"Relative Residual Averaged on Test Set, 30 Trials\", fontsize = 24, y=1.05)\n",
    "x = 0.05\n",
    "fig.text(0.05+x, 1.0, 'Random Forest',\n",
    "         backgroundcolor=sns.color_palette()[0], color='white', weight='roman',\n",
    "         size='x-large')\n",
    "fig.text(0.17+x, 1.0, 'Ordinary Least Squares',\n",
    "         backgroundcolor=sns.color_palette()[1],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.345+x, 1.0, 'Ridge Regression',\n",
    "         backgroundcolor=sns.color_palette()[2],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.48+x, 1.0, 'Maximum Optimality Margin',\n",
    "         backgroundcolor=sns.color_palette()[3],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.68+x, 1.0, 'SPO+',\n",
    "         backgroundcolor=sns.color_palette()[4],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.738+x, 1.0, 'MOM-Online Gradient Descent',\n",
    "         backgroundcolor=sns.color_palette()[5],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment1-2.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment1-2.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "50758e54",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n",
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "image/png": 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i2iaS1M+4yC6mdRv5nRIA5GVl8t7tN9BtyDCGXjsp2OEIIYJMEuRKkAS55nk9HnatX8umRT+TsmIZEU2aMGHKWyilyM/JlhIMUSaP201a6jZaduwMwJznnyJ11e+06tzNSIqTBxAZGxfkKEVtdeSvfUTExGC12cnLyiQkIlI+QAnRQEmCXAmSIAdXYX4emQcPENumLe7CQt66aTy9R1zMwDFXBTs0UQsUFuRjMpmx2Gys/OZLfvnwPa5/9T2i4ppyNG0/9rAwWcpLVElhQT4f3X8ncQntGH7T7dgcIcEOSQhRw+QiPVHr2UJCiW3TFjDWpu3/tzG06NgFgPTdO1nyyYd0GTyUdn36Y7HZghmqqCF5mUdJXbWclBW/sWv9Ws6/+U46nXEWHU8fTKOmzQlr1BiARs2aBzlSURdZ7Q66DT2XJbOmk75nF5fc8xCNm8sW1UIImUEuRmaQa6/tq1cw7+1Xyc04gj0sjA4DBtFl8FBaduyCMpmCHZ6oRkcPpPk27fiNfX9uBq2JjI0jKXkA3c4eTmx8QrBDFPXMrnVr+eaV/+B1uxlx690kJZ8W7JCEEDVESiwqQRLk2s3r9bB7/R9sWryAbcuX4nY6iYxtSpfBQ+g8+GyiW8jMT12ltea3z2eybflvpO/eCUBsfAJJ/U8nqd/pxLZpKzWi4pTKOnSQr198mgPbUxgw+u+cPmasbFEtRAMgCXIlSIJcdxQW5JOyYhmbFv3M7vV/oLWXhF59ufSBx4Mdmqik/dv+5ODOVP/Sa7MevQ+TyURSvwEkJg+QDWVEjXMXFvLT1DfZsGAeCT37cMHt98qFwkLUc5IgV4IkyHVTzpHDbPn1F7xeL/0vuQytNfPfeY3Og4bQukv3YIcnfFzOAnatW0u7Pv0wmc0snP4uGxbM56a3P8JiteJxuzFb5LIIEXzrfvqBn6e+SVjjJox79iVJkoWox+QiPVFvhUc3Ifni0f7nOUcOs2P1Clp06EzrLt3Jy8rk8N7dtOrUVeqVa1h+dpbvIrtl7Fq3BnehkzGPPE18tx70/9sYzrh8nH+DGEmORW3R45zziW3Tlu2rV0hyLEQDJTPIAWQGuf7wej1or8ZssbD6uzks+OAdImJi6TJ4KJ0HD6VJy9bBDrHeyjx4gNSVy0hZsYy9mzeitZfwJjEkJQ8gqd8AWnXuJsmwqFMO7tzOhoXzOWvcRMwW2fFTiPpEZpBFg2IymcE3Wdz97PMIiYxi0+IFLP/qc37/8lOatmtPlzOH0mngmYRGNQpqrPVFXlYmXzz1KAd3pgLQpFU8/f82hqR+A2jaLkkushN11u71a9n2+1IGjPq7/P+FEA2EzCAHkBnk+i/3aAZbfv2FTYsWcHBnKspkom2vvnQdMowOp50R7PDqnKWfzUR7PZzx96vRWjN3yjM0T+pIUr8Bsp6sqFcKcnNwhIXj9Xg4tGsHTdslBTskIUQ1kBlkIYCwRo3pe+Hf6Hvh30jfs4tNixeweclC1KKf/QlyWuo2mrZNlHrlEtyFhexav5a/tm5m8JXXAJCVfhDt9QKglGLkPx8MZohCnDKOsHAAVn7zJUs+ns5Z4ybS54JL5JsRIeopmUEOIDPIDZPX66EgJ4fQyCgyD6bx7m3XM2T89fS98G9orRv0H8CCnBy2r1lByorf2Ll2NS5nAbaQUCa+9BZhjRo3+J+PaHiceXn88MYUUlb8RsfTB3PeTXdgdTiCHZYQ4gTJMm+VIAmycBU6SV2xjJaduxIRHcOfvy1m+ZzP6TL4bDqdcaZ/a+P6LPtwOilFF9ltWo/X4yGscbT/IrvWXbvLhUqiQdNas3zO5/z68Yc0adWakXc/KCVFQtRRtTpBVko9APQB+gJtgV1a64QTGOcC4GGgJ+AEfgLu01rvqMz5kiCLklJX/c5vn8/iwPYUlMlEmx696TJ4KEn9BmC1149ZI601Xo8bs8XK3i0b+eSxfwEQ3aIVSf0GkNTvdJoltpeSEyFK2LluDd++8l+8bjcX3HY3iX1li2oh6praniBr4AiwGiNJzqpqgqyUGg18DvwBvANEAXcCHiBZa/3X8caQBFmU5/DePWxa/DObFy8k+/AhrI4QOpw2kM6Dh9K6a/c6uyWtx+1m+n230b7/QAZdcTVul4vV380hMfk0WQpPiEqQLaqFqNtqe4LcTmu93fd4AxBelQRZKWUFdgJuoKvWOsfX3gtYBbyntZ50vHEkQRbHo71e9m7ewKbFC9i67FcK8/No16cfo/71WLBDOy63y8WeDX+QsmIZzrxcLrrTmCleNPN9mrVLosOAQUGOUIi6ydii+v/YsGA+Ay69gjMuHxfskIQQlVSrE+RAJ5ggDwPmA49qrZ8scewnIBmI0Vq7KhpHEmRRFa5CJ9tXLcdis5PYtz/OvFy+eOpRBl05nvhuPYMdHgDOvFx2rFlJyopl7Fi7ksL8fKyOEBL79ueCW++WsgkhqonWmk2LfqZt72RCI6PkAlYh6oj6vsxbP9/9b2UcWwacDXQANtZYRKLes9rsdDx9sP95zpHDaO311yYf3Lmd9D27aN/v9Bq9yj33aAYpK5aRsuI3dm9Yh9fjJjSqER0HnklSvwHEd+vl395ZCFE9lFJ0PescwChd+vK5x+l65tl0Hjw0yJEJIU5EfUmQW/ju95VxrKitJWUkyEqpScAkgPj4+FMSnGgYmrSK56qnp/ifb16ykJVzZ/Oj3UH7/qfT+cyzie/W45TUJx75ay8hEZGERESyY81Kfnz3dRo1a06fC0aS1O90mrfvIHWRQtQQV0EBXo8H5BsaIeqs+lJi8R4wEUgsqmUOODYReA8YpbX+qqJxpMRCVCft9bLvz01GvfJvS3Dm5RLeOJpOg4bQZfBQYtu0PamxCwvysYeGcfRAGu/dfj1nT7iR3udfjDMvl+zD6TRpFS9f8QoRJNrr9Zcwpaz8nWbtkgiPbhLkqIQQJdX3Eos83729jGOOEn2EqBHKZKJV52606tyNs6+9ke2rl7Np8QJWfzeHlXNnExufQO8LRtJ96HD/OV6vh1XfzmH5V5/R/29j6HvhJf6ZX4/bxZ5NG0hZ/hupK5fRqkt3Lrz9Xho1bcb5t9xFfHej7tkeGoY9NCwo71kIYShKjgvz8/jfmy9jMpm4+M77adWlW5AjE0JURn1JkIuWcGsJbC5xrGj19rLKL4SoERabjQ4DBtFhwCDysjL587fFbF60gKP7jV9dr8fDqu/msGnRzxw9sB+308nSz2awadHPdBs6nLSUP9mxZiXOvFwsdjtte/alff/T/eMX1T4KIWoXW0gof3/sGb5+4Sk+ffJBhlx9Hb1HjJRvd4So5epLiYWsYiHqJK/Xg8lkZte6tXz+1MOgFJTxbzIkIpLE5NOMi+y698JqK+vLEiFEbeXMy+X716eQunIZnc44i+GTbpMtqoWoBepNiYVSqjnGJiC7tdZFZRO/APuB65VSUwLWQe4JDAGmHS85FiIYison4rv3JC6hHQd3bi/VJy6hHVc9M0UushOiDrOHhnHJ3Q+yfM7nLPnkQ9L37DK2qG7W4vgnCyFqXK24xFYpdbVS6mGl1MNALBBV9FwpdXWJ7s9glFH0L2rwJb93AK2BxUqpW5RS9wPzgENA7d/FQTRoSin6XjQKqyOkWLvVEULfi0ZJcixEPaBMJk4bdTmX3j+ZnCOHmfHAXaSuWh7ssIQQZagVCTJwHfCk7xYHNAp4fl1lBtBafwaMBJzA88C/gMXAGVprqT8WtV5i3/6YSiwLZTKZSOzbv5wzhBB1UUKvvox75iWi4prx3avPk5+THeyQhBAl1Loa5GCSGmQhhBA1xVXoJH3XTpq374jWGpezAFuJb5GEEKdWeTXItWUGWQghhGhQrDY7zdt3BOCPed8x/d5byT6SHuSohBAgCbIQQggRdHFtE4nv1pPwRtHBDkUIQR1cxUIIIYSob1p06ESLDp0AyEo/xNp533LG5VdhtliDHJkQDZPMIAshhBC1SOqq31kx53M+ffxBco4cDnY4QjRIkiALIYQQtUjv8y7iwjvu49CuHXz0wJ3s3bwh2CEJ0eBIgiyEEELUMp0GnsnYp17AFhLCZ08+xOrv5iCrTglRcyRBFkIIIWqhmNZtuOrpKbTt3Y8FH7zDd68+j6ugINhhCdEgSIIshBBC1FJFW1Sf8fer2bJ0ETMfuYeMtL+CHZYQ9Z4kyEIIIUQtpkwmBoz+u3+L6pTlvwU7JCHqPVnmTQghhKgDEnr15ZrnXyesUWMAMvbvo1HT5iiTzHUJUd3kX5UQQghRR4Q3jkYpRV5WJjMfvodfPnov2CEJUS/JDLIQQghRx4RERDL4ymto3a1HsEMRol6SGWQhhBCijlFK0WPY+TRu1gKtNT+88RKbFi8IdlhC1BuSIAshhBB1mMtZQObBNL5/7QV+nvYWHrcr2CEJUedJgiyEEELUYTZHCJc9/G/6XngJa36Yy6dPPEROxpFghyVEnSYJshBCCFHHmS0Whoy/gQtvv5eDO1P56P472LdlU7DDEqLOkgRZCCGEqCc6nXEWV/37BawOB58+8QCrv58rW1QLcQIkQRZCCCHqkZj4BK56egoJvfqy4P23+P61F3A5ZYtqIapCEmQhhBCinnGEhfO3ex7mjMvHceSvfaBUsEMSok5R8tXLMcnJyXrlypXH7ed0Ojly5AjZ2dl4PJ4aiEw0VGazmYiICKKjo7Hb7cEORwhRB3ncbswWC868PPan/ElCj97BDkmIWkMptUprnVyyXTYKqSKn08nu3btp3LgxCQkJWK1WlHwyF6eA1hqXy0VWVha7d+8mPj5ekmQhRJWZLcaf+mWzP2b1d19z3SvvEBkTG+SohKjdJEGuoiNHjtC4cWNiYmKCHYqo55RS2Gw2/+/akSNHaN68eZCjEkLUVQPHjKVN917+5NjjdmG2WIMclRC1k9QgV1F2djaRkZHBDkM0MJGRkWRnZwc7DCFEHWa1O0jo2QeAlJW/8/7dt3Bo144gRyVE7SQJchV5PB6sVvnELWqW1WqVenchRLUJiYjE5XQy8+F72CxbVAtRiiTIJ0BqjkVNk985IUR1atmxM1c/+zJN2yXx3Wsv8PP7b+Fxu4MdlhC1hiTIQgghRAMU1qgxYx55ij4XXMKa7+fy2ZMPyhbVQvhIgiyEEEI0UGaLhaHX3MAFt9/LgR2pfPTAnbJFtRBIgiyEEEI0eJ3POIux/34Bq83Op088wIaFPwY7JCGCShJkUa6FCxeilCp2Cw8Pp0+fPkyZMgV3iXq1IUOGlOpfdDv//POD9C6EEEJURmx8Alc9M4XEvqcR3aJlsMMRIqhkHWRxXFdeeSUXXHABWmvS0tKYPn06//znP9m8eTNvv/12sb52u51333231BgtWrSoqXCFEEKcIEdYOCPvftD/fM0Pc2nbux+NmjYLYlRC1DxJkMVx9enTh3Hjxvmf33LLLXTq1Il3332Xp556itjYYzsyWSyWYn2FEELUTXlZmSz9dAaZBw8wZPz1wQ5HiBolJRa1xJu/pLI0Nb1Y29LUdN78JTVIEZUvLCyMAQMGoLUmNbX2xSeEEOLkhUZGMe7Zlxk89hoAco4cRnu9QY5KiJohCXIt0aNVFLfOXONPkpempnPrzDX0aBUV5MjKVpQYR0dHlzqWnp5e6iabXAghRN0TFdcUs8VKYX4eHz92H1/990kKcnOCHZYQp1y1lVgopZoAR7XWDTITenzuRjb9lXVSY8RF2Bn/3nKaRto5kOUkKS6cl3/cxss/bjuh8bq0iOSxi7ueVEwAeXl5pKen+2uQ33zzTdasWUO/fv3o0KFDsb65ubnFSi6KbN68mU6dOp10LEIIIWqe1RFC3wv/xsLp7zLjgbsYefeDxLZpG+ywhDhlKp0gK6V6AcOBr7XWWwLahwPvAS2ATKXUv7TW71R3oA1BVIiVppF29h0toGUjB1EhtWNL68cee4zHHnusWNvo0aN5/fXXS/V1OBzMnTu3VHt8fPwpi08IIcSppZSi9/kXE5eQyNyXnmXmw/cw/Mbb6DxoSLBDE/WA1+th1bdzWP7VZ/T/2xj6XngJJpM5qDFVZQb5NuAa4KOiBqVUU2A2EAp4gUbAm0qptVrrFdUYZ61XHTO1RWUVt5+dxEe/7+aOYe0ZmBhTDdGdnEmTJjFmzBhcLhfr16/nueeeY+/evTgcjlJ9zWYzw4YNC0KUQgghTrWWnbow7pmX+OalZ/nu1edJS9nKmeMmYrbINf/ixGTs38fcl54jY/8+3E4nSz+bwZYlC7nozn/RuHnwlhusSg3yQGCd1vqvgLarMZLjlwAHMBpQGMm0qIKi5Pi1sb355/COvDa2d7Ga5GBq3749w4YNY8SIEdx3333MnTuXFStWcNNNNwU7NCGEEDUsvHE0Yx55mj4jRrL6+6/57MmHyD2aEeywRB0SeLHnjIfuJn3XDtxOJwBup5NDu3Yy69H7ghUeULUZ5DhgSYm2cwEX8LjW2g18pZRaCZxWTfE1GOv2ZvLa2N7+GeOBiTG8NrY36/Zm1opZ5EADBw7k6quvZvr06dx+++0MHDgw2CEJIYSoQWaLhaHXTqJZUgfmvfUqH95/B9c8/zoh4RHBDk3UsKz0g7icTpq0bA3A5sULyDx0kILcHJy5ORTkZBuPc3IoyM2lIDeHpu0S+ftjzwLgcRWitS42ptZeYlq3qfH3EqgqCXIEUPLS1f7Aaq11ZkBbKnDxyQbW0Nx0VmKptoGJMbUuOS7yyCOPMGPGDB599FF+/FG2JBVCiIao86AhxLRuw461qyQ5rqOceXk4c3OIjI0DYPeGdRz5a6+R3ObmUJBTPNEtyM3Bancw4cX/A+DHd14nLyuLcc9MAWDlN19xcGcqFrsdR1g4jrBw7GHhRMY1Jc73OLpFK//rJ188mpXffOmfQQbjotBuQ8+twZ9CaVVJkDMAfzrvu2gvCvi1RD8TxqyyqMeSkpK44oormDFjBosXL2bw4MHBDkkIIUQQxLZp61/RIi1lK3/8+ANnT5iE1V76OhVR/bxeD4V5+djDwlBKcXjvbtL37KIgJ6f0LG5uDgU5xizuxJfewmyxsHjWB/z522L+8e5MANbO+4Ztvy8FwGKz4wgLwx4WjiM8nIiYWGLbtCW88bElXvuPuhwdsJTrmEeewmK3Y7FWbqGB5ItGseb7ubg5liCbTCYS+/avjh/PCatKgrwSGK6UOk1r/TtwF6CBn0v0aw/sr6b4RC320EMPMWvWLB599FEWLFgQ7HCEEEIE2f6UP9mz8Q/chYWSIFdBUU2uMpnIyTjC4b27j83c+m7OnOKzuCP/+QBRcc1Y/e0cfvloKrdO+xR7aCgbFv7Iyrmz/WObrVb/LK4jPILw6GhiWsfjdbsxWyx0GTyEFh2OLcN69oSbOHvCTTjCwrHYbMeNvVWn4osUOMLDq/Te7aFh3DrtkyqdUxNUybqPcjsay7n9gJEUHwUaA9uBjkVrHyulYjCS48+01mNPRcCnUnJysl65cmWFfTZv3kznzp1rKCIhjpHfPSFEXeAqKMDqcOBxu9ifsrVUAlXfFRbkk7H/rwpKFHJx5uYwcMxVtOjQidRVvzPnv08x7tmXiEtox9p53/HTe28UG9NktuAID/fP5DrCwjn72htp1Kw5B7ansHfzBnqccz5Wh4Os9EMU5uViDzcSYqvNHqSfRN2glFqltU4u2V7pGWSt9Tyl1ETgUYwL9hYCt5TYGORqwOw7JoQQQogGxupbAnTlN1+x5OPpDBwzlgGj/o4y1Y3Ne70eDzkZh4vP4BYrVzAedxk8lHZ9+nF47x4+nvwvht94G+37nc5fWzbxxTOPlRrXZDYbCa7v5nEb1aiNm7fitFFjcPhquBOT+xPTKt5IcH19LXY7Sqky423aLomm7ZL8zyNjYoHSG3aJqqnSwoVa6/eB9yvo8iYwldIX8wkhhBCiAekz4mIO79nF0k9nkJa6jfNuvpONC3885ZtBaK1xO53k52SXU6Jg1OC27NiZzoOG4HIW8OG/7qDvhZfQ89wLOHogjWl33Vjm2MpkMpLW8HASevQGICQyko6nDyayiZGUxrVNZOTdD+IIjwgobQjHaneUmeRGt2jJGX+/2v88IjqGiOjaeYF+Q1KtK3trrfOB/OocUwghhBB1j9XuYMStd9MsqSMLp7/DWzeNx6RMuF2Fx90MQmuNu9AZsDxYiVnc3BwiY+LofvZwAGY/8xjNO3Ti9EuvxOvx8Mo1l5Ubl1Im7GFh2ENCAONCtLi2iYQ1bgJARHQTzp10m6+UIcJf0mAPC8cWElIqyQ2NjGLYdTcfex7ViPb9ZfnTuu6kE2SllAmYCPQEdgFvaa2zT3ZcIYQQQtRtSin6jLiYpZ9+hDMvl6LtIdxOJwd37WDWo/dxyzszWDj9HVAmhlx9HQBT75jE0QMVXO+vFO369PMnyCGRUdhDwwBjjeazrr4OW0jIsRlc3yyuPSwce0hosXIPpRQX3XFsUwqrw0GPc86r3h+EqHMqnSArpe7HqD++QGu9MODQt8BwjB30NHCtb6WL3OoMVAghhBB1U2xCO/ZuWl+8UWv/ZhBulxtTQNLa67wL8bjdZSa4jrBw7KHFk9wR//hnsaGTLxp16t6MaBCqMoN8HpAF/FLU4FvZ4jxgL0Zt8rkYm4dMBF6ttiiFEEIIUWd1P3s4B7an4Co4VoVpdTj8m0EEligA9L3wbzUZnhClVOWS0iRgky6+LtylGLPGV2itHwXOxthQpM4t8SaEEEKIUyOxb/9iM8QAJpM56JtBCFGeqswgNwEWlWgbBKRprZeCcZGeUmop0K8qQfjqmO8AbgQSgEPAp8CjlSnVUEbF/JXArUAHwA7sBj4BXtJaZ1UlHiGEEEJUn9q6GYQQ5anKDLIGwoqeKKWigE6U3mo6E2hUxTimAC8Cm4DbgM+A24G5vuT5eP4NzMBYQeNx4F5gve/xPFXe4oFCCCGEEEKUUJUZ5B3AaUopk9baC1yEcWHekhL9YoH0yg6qlOqKkRTP1lpfGtC+A3gFuAKYWcH5FuBOYDVwri82gDeVUm7gKowVNtZWNiYhhBBCCNFwVWUG+WugKfClUup24L+AB5hT1ME3U9sbI5murCsxEu2XSrS/A+QB445zvhUIwSj18JY49pfvXlbUEEIIIYQQlVKVBPk5YDNwMUYy2wx4Xmu9K6DPIIwZ5JKzyhXpB3iB5YGNWusCjFnfCuuZfZuTLALOV0r9SymVpJRKUEpdC9wCfKS13laFeIQQQgghRANW6RILrXWmUioZuAxjJnm51rrkRXtNgJeBj6sQQwsgXWvtLOPYPmCgUsqmtS6sYIyrgA+AZ303MGqmn8JYu1kIIYQQQohKqcoMMlrrfK31h1rr58tIjtFaf6W1vktrva4Kw4YCZSXHAAUBfSriBLYD0zGWmLsS+AJ4GHiwohOVUpOUUiuVUisPHTpU6aAbkqysLJ588kn69OlDREQEoaGhdOnShXvvvZcDBw6U6r9z506UUtx6663HHTstLY177rmHbt26ERERQVRUFO3bt+eKK65g9uzZp+LtCCGEEEJU6KS3mq4GeUBcOcccAX3KpJQKBZYCq7XWVwQc+lgp9THwhFLqc631n2Wdr7V+G3gbIDk5WZfVpyHbunUr5513Hrt27WL06NFcd911WK1Wli1bxssvv8y0adOYO3cup59+epXH3rVrF/379ycrK4urrrqKm282FopPSUnh22+/JScnh9GjR1f3WxJCCCGEqFCVE2SlVBeMNYuHAC19zfuABcCrWuuNVRzyL6CLUspeRplFS4zyi4rKKy4D2gMPlHHsM+DvGLXRZSbIonx5eXlcfPHF7Nu3j7lz53LhhRf6j02aNIlbbrmFYcOGcckll7B+/XqaNm1apfGff/55Dh48yFdffcUll1xS7NiUKVPYu3dvtbwPIYQQQoiqqFKJhVLqOozl1K7HSEpDfbf2wCRgla9PVazwxVFsOx2llAPoBaw8zvlFSbq5jGOWEve1X3YaTBsB2aVLF2rae++9x9atW7nrrruKJcdFkpOTefrppzl06BD//e9/qzz+tm3GtZPnnHNOmcdbtWpV5TGFEEIIIU5WpRNkpdRpwFsYyeZnwPkYiXEH4DyMXessGOsPn1aFGD7BuKDuzhLtN2Ak3zMCYmiulOrkK6sossl3f00ZYxe1rahCPMH1y39g9zL45blgR8Lnn38OwA033FBun2uvvRar1coXX3xR5fETExMBeOeddyi+g7kQQgghRPBUZWb1Hoz1iq/UWn9a4lgKMF8pNRsj4b0buLwyg2qt1yulXgdu9Z3/HdAZYye9Xyi+ScgzGEnvUGChr+0bjCXiLlBKLcK4OE8Bo4HBwGda69VVeJ8n5vv7IW39yY3hLoS/VoL2wqppxnhm24mP16w7jHj2+P3KsWHDBiIiIkhKSiq3T2hoKB07dmTDhg3k5OQQHh5e6fHvvvtuPvroI/75z38yZcoUBg8eTL9+/Rg8eDB9+/Y94biFEEIIIU5GVUosBgErykiO/bTWn2Ekq4OrGMedGAl4V+B1jN3zXgUuKmPzj5Kv6QGGYSTPccB/MJZ6awz8C2NVi7ohczcUzaRqDUd3BzWcrKwsoqKijtuvqE9mZmaVxm/Xrh1//PEH//jHPwCYOXMmd911F8nJyfTo0YNVq1ZVPWghhBBCiJNUlRnkaOCnSvRLwdhNr9J8Se4LvltF/a4Fri2jPRtjObcKl3Q7pU5iphYwao9f7olRbYJxX3AULpsKEVW7+K26REZGkpWVddx+RX0qk0yXlJCQwGuvvcZrr73G/v37WbJkCR9++CFz587loosuYuPGjURHR1d5XCGEEEKIE1WVGeQjQPnftR+T6OsrquKX/xilFYG0N6i1yN26dSMrK4uUlJRy++Tl5fHnn3+SkJBQpfKKsjRv3pwxY8bw9ddfM3bsWNLS0vjuu+9OakwhhBBCiKqqSoK8FOinlCp3YVql1N+A04BfTzKuhmfvcvCUWM3OU2i0B0nRGsTvvvtuuX2mT59OYWFhta9XPGDAAAD27dtXreMKIYQQQhxPVUosXgAuAT5RSs3C2Np5B0ZNQDtgPMYOdl6OUyohynDTkmBHUMr111/Pa6+9xpQpUxgyZAjnn39+seOrV6/mgQceIDY2lnvvvbfK4y9cuJDTTjuNkJCQYu1er5e5c+cC0KVLlxN/A0IIIYQQJ6DSCbLWeqlS6jbgZeAq3y2QAtzAbVrr36ovRBEsYWFhfP3115x//vlceOGFXHrppQwZMgSLxcLy5cv58MMPCQ8P56uvvqJZs2alzl+5ciX//ve/S7VbLBbuv/9+nn/+eX799Vcuvvhi+vTpQ1RUFGlpaXzxxResWrWKoUOHlrn+shBCCCHEqaSquv6sUqoHxk56Z1J8J71fgFe01uuqNcIalJycrFeurHhfks2bN9O5c+caiqh2yMzM5OWXX2b27NmkpKTg8Xho06YNF110Effcc0+p5Hjnzp20bdu23PHsdjsFBQUsW7aMzz77jEWLFrF7926OHDlCWFgYnTt3ZsyYMfzjH//Abref6rdXZzTE3z0hhBDiVFJKrdJaJ5dqlw0ajpEEWdRm8rsnhBBCVK/yEuQqbTVdyRf6TSnlru5xhRBCCCGEqAnVniD7qFM0rhBCCCGEEKfUqUqQhRBCCCGEqJMkQRZCCCGEECKAJMhCCCGEEEIEkARZCCGEEEKIAJIgCyGEEEIIEaDcnfSUUvEnOKbs7CCEEEIIIeqsiraa3lFjUQghhBBCCFFLVJQgn8xaxrI9nxBCCCGEqJPKTZC11lKfLIQQQgghGhxJgoUQQgghhAggCbKoNkOGDCEhIaFSfRcuXIhSivfff/+UxiSEEEIIUVWSIItyFSWxgbfw8HD69OnDlClTcLvdwQ5RCCGEEKLaVXSRnhAAXHnllVxwwQVorUlLS2P69On885//ZPPmzbz99tv+fvPmzUNruT5TCCGEEHWbJMjiuPr06cO4ceP8z2+55RY6derEu+++y1NPPUVsbCwANpstWCEKIYQQQlQbKbGoRb7d/i3DPx9Ojw96MPzz4Xy7/dtgh1SmsLAwBgwYgNaa1NRUf3t5Nchz5syhd+/eOBwOWrduzaOPPorL5Spz7J07d3LppZcSGRlJVFQUl1xyCTt27CAhIYEhQ4aU6v/jjz8yfPhwGjVqhMPhoEePHrz55pvV9VaFEEII0QDJDHIt8e32b5m8dDIFngIA9ufuZ/LSyQBc2O7CIEZWtqLEODo6usJ+X375JZdeeikJCQk8+uijWCwWpk2bxjfffFOq7+HDhxk8eDAHDhzgpptuonPnzixevJihQ4eSm5tbqv/bb7/NTTfdxIABA3jooYcICwtj/vz53HzzzaSmpvLf//63et6sEEIIIRoUmUGuRhN+mMBXKV8B4PK6mPDDBOamzgUg353PhB8m8MOOHwDILsxmwg8T+HHXjwBMWTXFnxwXKfAU8J8V/wEgLTeNCT9M4Le/fgNgT/YeJvwwgRVpKwDYkbmDCT9MYO3BtQBsy9hWbe8rLy+P9PR0Dh06xPr16/nHP/7BmjVr6NevHx06dCj3PI/Hwx133EF0dDTLly/nwQcf5L777mPZsmUcPny4VP/nnnuOvXv3Mm3aNF555RVuvvlmZs6cyeWXX056enqxvvv37+f222/niiuuYOnSpdx7773ccsstfPnll9x+++28+OKLxWa3hRBCCCEqSxLkWuJg3sEy248UHKnhSEp77LHHiI2NJS4ujh49evDGG28wevRovv766wrPW7VqFXv27GHChAnExMT426OiorjppptK9Z87dy7NmzfnyiuvLNZ+zz33lOr7+eef43Q6ue6660hPTy92u/jii/F6vfz0008n+I6FEEII0ZBVucRCKRUFjANOB2KBn7TW//Ed6wi0ARZrrfOrM9C6YNr50/yPrSZrsechlpBizyNsEcWeNwtrxv7c/aXGbB7W3H88sH/riNbFnreNalvsefvG7U/y3RwzadIkxowZg8vlYv369f6ZXofDUeF527dvB6BTp06ljnXp0qVU244dO+jfvz8mU/HPbXFxcTRq1KhY2+bNmwEYNmxYua9/4MCBCuMTQgghhChLlRJkpdT5wAygEaAADewL6NLbd3ws8En1hNgw3NHnjmI1yAAOs4M7+twRxKgM7du39yeiI0aMYNCgQQwaNIibbrqJjz/+uNzzipZ8U0qVe+xEFZ0/ffp0mjdvXmafdu3andRrCCGEEKJhqnSCrJTqBsz2nfMGsIjSSfDXQD5wSRnHRAWKLsR7efXLpOWm0SysGXf0uaNWXqA3cOBArr76aqZPn87tt9/OwIEDy+yXmJgIHJvtDVRWW0JCAikpKXi93mKzyAcPHuTo0aPF+rZvb8yQx8TEVDiLLIQQQghRVVWpQX4QsAOXaa1v01p/VrKD1joP2AL0rKb4GpQL213IvMvmse6adcy7bF6tTI6LPPLII5jNZh599NFy+/Tt25dWrVoxbdq0YhfZZWVllbkU28UXX8z+/fuZNWtWsfbnn3++VN/LL78cu93OY489Rn5+6WqezMxMnE5nVd6SEEIIIQRQtRKLIcAarXXFV2bBHuCsE45I1AlJSUlcccUVzJgxg8WLFzN48OBSfcxmM1OmTOHyyy+nf//+3HDDDVgsFqZOnUqTJk3YvXt3sf7/+te/mDlzJhMmTGD58uV06tSJJUuW8OuvvxITE1OsVKNVq1b83//9H9dffz2dO3fm6quvpk2bNv6VNr766is2bdpU5rrMQgghhBAVqcoMchMgpRL9vEDIiYUj6pKHHnoIk8lU4SzyZZddxueff05kZCSTJ0/mlVde4bLLLuO5554r1TcmJoYlS5Zw0UUXMXXqVP71r3+Rk5PDggUL0FoTElL812rChAksWrSI3r1789Zbb3HLLbfw6quvsn//fp588kmaNWtW7e9ZCCGEEPVfVWaQM4BWleiXCMjyAfXAkCFDKryYrnPnzng8Hv/zhQsXltlv9OjRjB49ulR7WWO3bduW2bNnF2s7fPgwhw8fJj4+vlT/M844gzPOOKPcGIUQQgghqqoqM8jLgX5KqXLXD1NK9QN6AL+ebGCiYSqrnrhotvncc8+t6XCEEEII0QBVZQb5deAi4HOl1OVa6z8DDyql2gFTMZZ++7/qC1E0JCNGjKBNmzYkJyfj8Xj46aef+Oabbxg4cCB/+9vfgh2eEEIIIRqASifIWuv/KaVeBW4DNimlNmIkw8OUUr9jrIFsAV7UWi85JdGKeu/iiy9m+vTpfPXVV+Tn59OqVSvuvvtuHnvsMcxmc7DDE0IIIUQDUKWNQrTWdyilNgOPAt18za18t8PAk1rrV6o3RNGQ3H333dx9993BDkMIIYQQDViVt5rWWr+plHob6AW0A8wYS7st11q7qzc8IYQQQgghalaVE2QArbUXWO27CSGEEEIIUW9UehULpdRzSqlOpzIYIYQQQgghgq0qy7zdC2xUSi1TSt2klGp0imISQgghhBAiaKqSIL+IsQFIf4wl3/YrpT5WSp2vAvcAFkIIIYQQog6rdIKstb4HY7WKC4EvfM2XA98Ce5VSzyqlOld/iEIIIYQQQtScqswgo7X2aq2/11pfDjQDbsHYYa85cB+wQSn1u1LqpuoPVQghhBBCiFOvSglyIK11ptb6Ta316UAn4FlgL9APowRDCCGEEEKIOueEE+QSUoAlwMpqGk8IIYQQQoigOKkEWSnVVSn1X4yZ47nAKCAfmFENsYlaYPv27UyaNIlOnToRGhpK48aN6dKlC9dccw0LFizw90tISEAp5b/ZbDYSEhK4/vrr2bNnT6lxvV4vH3zwAWeffTZNmjTBbrcTHx/P1Vdfzdq1a2vwHQohhBBCFFfljUKUUtHAWOBaoDdQtILFb8A04BOtdXZ1BSiCZ+XKlZx11llYrVbGjx9P165dyc/PZ+vWrcydO5eIiAiGDh3q79+qVSueeeYZALKzs1m4cCFTp07lu+++Y926dcTExACQm5vLqFGjmD9/Pqeddhr3338/0dHRbN26lWnTpjFr1ixeffVVbr755qC8byGEEEI0cFrrSt2AizFWrygAPIAXY4vpp4D2lR2nNt/69u2rj2fTpk3H7VNfXHTRRRrQa9asKXXM4/Hoffv2+Z+3adNGd+3atVS/W2+9VQP6P//5j79t3LhxGtAPPfRQqf6HDh3SPXr00EopPX/+/OPG2KZNG33NNddU7g3VcQ3pd08IIYSoCcBKXUZOWJUZ5Dm++wLgE+B9YL5vcHGStg4ajCc9vVS7OSaGDksWByEi2LZtG02aNKFXr16ljplMJlq0aHHcMc477zxee+01UlJSAFi3bh0fffQRp512Gk8++WSp/jExMcycOZPu3btz//33s3KllLULIYQQomZVpQZ5OXAz0FxrPVZrPa+6kmOllEkpdZdSaotSqkAptUcp9YJSKqwKY1iUUrcrpVYrpXKVUpm+xzdWR4ynWlnJcUXtNSExMZHDhw8ze/bsEx5j27ZtAP7yii++MJbQvv766ylvf5muXbty+umns2rVKnbt2nXCry2EEEIIcSIqPYOstR5wCuOYAtwOfAm8AHT2Pe+tlBqmtfZWdLJSygZ8DQzFuEDwTYz31h5ocwrjLmbX1eOP2yd8yBCaXDfR3z9q1CgajR5V6XGL+rszMth3+x1ET5hAxNlDcW7fQdpjjxU7r82H00/gXRzz8MMPM3/+fC699FLat2/PoEGD6NevH0OGDKFz59J7wng8HtJ9CX1RDfLjjz+OxWLhyiuvBGDDhg0A9OnTp8LX7tOnD0uXLmX9+vW0aVNj/wmFEEIIIap+kV51U0p1BW4DZmutLw1o3wG8AlwBzDzOMI8Aw4BztdYLjtNXVFLRLO4LL7zA999/z7Rp05g2bRoAgwYN4oMPPqBdu3b+/lu2bCE2NrbYGImJicycOZNu3boBkJWVBUBUVFSFr110PDMz09+WmZmJy+Uq1s/r9eJ0Ov2JeZHQ0FBCQ0Or8naFEEIIIYAKEmSl1Jm+h8u11gUBzytFa72okl2vxFgJ46US7e9gbD4yjgoSZF8Zxh3AHK31AmV8bx+ug7CSRlVnbCvbv6x+lsaNi7Xb27U96RnjsnTv3p33338fgF27dvHLL7/w7rvvsnjxYi655BJWrVqFzWYDjKXe3nnnHQBsNhstWrQgKSmp2HiRkZFA8cS3LGUl0pdccgm//PJLqb4ff/wxH3/8cbG2xx57jMmTJ1f+jQohhBBC+FQ0g7wQ0BjlDlsDnleGPs7YgfphrIixvNgARlK+1ne8IoOBCGCVUuplYCIQrpRKx0iyH9VauysZi6hAmzZtGD9+PFdffTWDBw/m119/Zfny5QwaNAiAsLAwhg0bVuEY3bp1Y/bs2axevbrCMovVq1cDRoJe5IUXXiAjI6NYv3HjxtGzZ0/uvffeYu2BM9tCCCGEEFVRURK7CCPRzSvxvLq1ANK11s4yju0DBiqlbFrrwnLO7+i7vxMoBO4DDgNXAQ8ALYFryntxpdQkYBJAfHz8icRfLcwxMeWuYlHbKKU47bTT+PXXX9m3b1+Vzh09ejRPPPEE7733Htddd12ZF+pt2rSJpUuX0qdPn2L1x3379i3V1+Fw0Lx58+Mm5kIIIYQQlVVugqy1HlLR82oUCpSVHIOxpFxRn/IS5AjffTTQTWu9xff8U6XUAmC8Uuo5rfWmsk7WWr8NvA2QnJwctCXrgrWUW0Xmz5/P0KFDsViK/5rk5+czb948ALp06VKlMXv27MmVV17JrFmzmDx5Mo8//nix40eOHGHcuHEAPPvssycRvRBCCCHEiQn6RXoYM9Rx5RxzBPQpT77vfllAclxkOjAEOAsoM0EW5bvrrrs4fPgwI0eOpHv37oSGhrJnzx5mzpzJ1q1bGT9+fLESiMp66623OHDgAE888QTz589n9OjRxXbSS09P5/XXX+fcc889Be9KCCGEEKJilU6QlVJTgSVa66nH6XctcKbWemIlh/4L6KKUspdRZtESo/yivNljgL2++7Qyju333TeuZCwiwIsvvsicOXNYsmQJX3zxBUePHiUqKooePXrwr3/9i2uvvfaExo2IiGDevHlMnz6dDz74gKeffpqcnByaNm3K8OHDufvuu8vcnEQIIYQQoiZUZQb5Wt99hQkycAZGzW9lE+QVwHCgP+CvM1BKOYBeGLXPFSm6uK9VGceK2g5WMhYRYPjw4QwfPrxSfXfu3Fmlsc1mMxMmTGDChAknENmJv64QQgghxPFUZSe9yrJirEpRWZ9gXPx3Z4n2GzBqj2cUNSilmiulOiml/Avcaq13AL8C/ZVSfQL6mn1juIF5VXwPQgghhBCigToVCXJX4GhlO2ut1wOvA6OVUrOVUtcrpV4AXgR+ofgayM8AmzFmmwPdhlGn/KNSarJS6jbfuf2Bp7XWu0/0zQghhBBCiIalwhILX91xoEFltAWO1RnoA3xbxTjuBHZiLLd2IZAOvIqxhvFxZ6O11muUUgOBf/vGcmAk0hO01u9XMRYhhBBCCNGAHa8G+dqAxxpI8t0qkgY8VJUgtNYe4AXfraJ+15aIKfDYOmBkVV5XCCGEEEKIko6XIBddQaUwLs5bArxXTt9CjI09lh1n1QkhhBBCCCFqrQoTZK31B0WPlVKTMZLfD8o/QwghhBBCiLqt0su8aa0TTmEcQgghhBBC1AqnYhULIYQQQggh6qwqbzXt28BjKNABiMSoTy5Ja62fPMnYhBBCCCGEqHFVSpCVUpcCbwLRFXXDWPFCEmQhhBBCCFHnVDpBVkqdBnyMsUveLKAb0B14FmPpt3OBKIxVLvZWe6RCCCGEEELUgKrMIN+DUbP8N631t0qpaUB3rfVDAEqpGGAacAHGZiFCCCGEEELUOVW5SG8gsEFrXeYueVrrdGAsYAcer4bYhBBCCCGEqHFVSZBjgD8DnrsBlFIhRQ1a62xgETCiWqITQbVw4UKUUiiluPXWW8vsc/DgQWw2G0ophgwZUur4okWLGDNmDC1atMBmsxEXF8cFF1zAV199VeZ41157rf81V65cWWafKVOm+Pu8//77J/juhBBCCCHKVpUEOQNjdrjIUd99qxL9NBB3EjGJWsbhcDBz5kycTmepYx9++CFaayyW0tU6Dz30EGeddRYrVqzguuuu48033+TOO+9k9+7djBo1ivHjx+PxeMp9zWnTppV5bNq0aTgcjpN7U0IIIYQQ5ahKgrwHiA94vgFjxYqLihqUUmHAIIwtp0U9MWrUKDIyMpgzZ06pY9OmTeOCCy7AbrcXa3/vvfd4+umnGTZsGJs2beLJJ59k4sSJPPjgg6xdu5bx48fz4Ycf8vjjZVfjjBo1ilmzZpVKylesWMH69esZPXp09b1BIYQQQogAVUmQFwJdlVKxvuffAHnAM0qp55RSt/n6xADzqzPIhuCTfy/n9Zt+LnX75N/Lgx0affr0oWfPnqVmdJcvX87GjRuZMGFCsfbCwkIefvhhwsPDmTlzJqGhocWOWywW3nrrLeLj43n++ec5dOhQqdecOHEiGRkZpUoxpk2bRmxsLBdddFGpc4QQQgghqkNVEuTPgF+A3gBa68PA3YAVY4WLl4C+GEu8PVKtUTYAzdpFYjIX33PFZFY0S4wKUkTFTZgwgXnz5rF377EV/KZOnUpcXFypZPXXX38lLS2NSy65hNjY2JJDAUYJxbhx48jPz+e7774rdbxXr1706tWLqVOn+tsKCgqYNWsW48aNw2q1VtM7E0IIIYQortLLvGmtl2OsdRzY9pZSaiVwGcbmIVuAaVrro9UZZF2w+NOtpO/JOeHzPW4vXq8u1ub1ag7tzubLF1af0JgxrcMZfHmHE44p0Lhx47jvvvuYPn06Dz74IPn5+Xz88cdcf/31peqPN2zYABgzzxUpOr5+/foyj0+cOJE777yTPXv20Lp1a2bPns3Ro0eZOHEiW7ZsqYZ3JYQQQghRWlVmkMuktV6ltX5Aa32j1npKQ0yOq4PZYiI0wlasLTTShtly0v+JqkWTJk0YOXKkf9WI2bNnk5mZycSJE0v1zcrKAiAqquLZ76LjmZmZZR6/6qqrsFqtTJ8+HTDKK/r160e3bt1O9G0IIYQQQhxXlbaaFuWrjpna3EwnHz78Gx6XF7PVxOUP9iMsyn78E2vIhAkTuPDCC1myZAlTp06lf//+dOnSpVS/yMhIoPzEt8jxEuno6Gh/Uj5u3Dh+/vlnXnvttZN8F0IIIYQQFasd05MCgLAoO51PbwYKOg9sXquSY4DzzjuPli1b8vjjj7NgwYIyZ48B/wzv6tUVl4YUHe/evXu5fSZOnEhKSgo33HADNpuNK6+88gSjF0IIIYSonHJnkJVS209iXK21TjyJ8xus5AvbcmR/LskXJAQ7lFLMZjPjx4/nmWeeISQkhCuuuKLMfgMHDqRp06bMmTOH9PR0YmJiSvUpKCjgo48+wuFwMGJE+fvKDB8+nFatWjF//nzGjh1Lo0aNquvtCCGEEEKUqaISi4STGFcfv4soS1iUnVF39w12GOW66aabsNlstGvXrtzSCLvdzhNPPMGNN97IuHHj+PLLLwkJ8W+4iMfj4ZZbbmHXrl088sgjxMWVv6+MyWTi9ddfZ/Xq1bL2sRBCCCFqREUJctsai0LUGfHx8UyePPm4/SZNmkRqair/+c9/6NKlC+PHjychIYG0tDRmzZrF+vXrGTduHI899thxxxo5ciQjR46shuiFEEIIIY6v3ARZa72rJgMR9c9zzz3HiBEjePXVV3n77bc5fPgwUVFRJCcn8/jjjzNq1KhghyiEEEIIUYrSWqohiiQnJ+uVK1dW2Gfz5s107ty5hiIS4hj53RNCCCGql1JqldY6uWR7lZd5U0qZgBHA6UAs8LvWeqrvWCzQGEjVWntOLmQhhBBCCCFqXpUSZKVUH+BjIBFQGBfjWYGi/YBHAm8DfwPmVluUQgghhBBC1JBKr4OslGoDzAeSgO+A+zCS5EBfAC6MBFkIIYQQQog6pyobhTyEUT5xq9b6Yq318yU7+LaZ3gz0q57whBBCCCGEqFlVSZDPAzZrrd84Tr89QPMTD0kIIYQQQojgqUqC3BTYUIl+BUDEiYUjhBBCCCFEcFUlQc7GSJKPpy2QfmLhCCGEEEIIEVxVSZDXAMlKqXLLJ5RSHYFewPKTjEsIIYQQQoigqEqCPBUIBWYopZqUPKiUisRY4s3EsWXfhBBCCCGEqFMqnSBrrT8GvgSGANuVUl/7Dg1QSn0C7AAGA59qrb+p7kCFEEIIIYSoCVWZQQb4O/AfjA1GLvK1dQLGAOHAS8DV1RWcEEIIIYQQNa1KO+lprd3A/Uqp54ChQDvAjLG0249a64PVH6IQQgghhBA1p0oJchGtdQYwu6xjSikTcI3WetrJBCaEEEIIIUQwVLXEolxKKZNS6hrgT+Dd6hpXBM/ChQtRSqGU4tZbby2zz8GDB7HZbCilGDJkSKnjixYtYsyYMbRo0QKbzUZcXBwXXHABX331VZnjXXvttf7XXLlyZZl9pkyZ4u/z/vvvV+k9OZ1OXnnlFQYOHEijRo1wOBwkJSVx8803s3379grPnTt3LqNHj6ZVq1bY7XbCw8Pp3Lkz1113HT/99FOxvjt37vTHqJTCZDIRFRVFx44dueKKK/jss89wu91Vil0IIYQQNeO4M8hKqRbAcIw1kA8A87TWf5XoMxaYDCQCytdP1BMOh4OZM2fywgsvYLfbix378MMP0VpjsZT+VXrooYd4+umnadOmDddddx1t27YlLS2NmTNnMmrUKK6++mqmTZuG2Wwu8zWnTZtGcnJyqWPTpk3D4XBQUFBQpfdx4MABRowYwZo1azj33HOZPHky4eHh/PHHH7z//vt88MEHzJo1i0suuaTYefn5+YwdO5avvvqKjh07Mn78eNq1a4fH42Hr1q188803TJ06lZkzZ3LllVcWO/fcc89l/PjxAOTk5LB9+3a++eYbPvnkE/r06cOXX35JfHx8ld6HEEIIIU4xrXW5N+AOIB/wBNwKgEm+4+2A33ztXiATeAQIq2jc2nrr27evPp5NmzYdt099sWDBAg3oK6+8UgP6k08+KdWna9eueuTIkTosLEyfddZZ/vZ3331XA3rYsGE6Nze32Dkul0uPHz9eA/qRRx4pduyaa67xv2bjxo11QUFBsePLly/XgB47dqwG9LRp0yr1Xrxerx48eLAG9FtvvVXqeGpqqm7VqpUOCQnRGzZsKDOme++9V3s8njLH/uKLL/T333/vb9uxY4cG9D/+8Y8y45kyZYoGdLdu3bTL5arUe2hIv3tCCCFETQBW6jJywnJLLJRSZwJTADuQA6wGUjEuyntDKXUu8CtwGuAGXgYStdZPaq1zqyN5b2i8Xg8r5s7m9euuZMXc2Xi9nmCHBECfPn3o2bMn06YVLytfvnw5GzduZMKECcXaCwsLefjhhwkPD2fmzJmEhoYWO26xWHjrrbeIj4/n+eef59ChQ6Vec+LEiWRkZJQqxZg2bRqxsbFcdNFFpc6pyDfffMPixYu5/PLLmTRpUqnj7dq146233iI/P5/HHnvM375u3To++OADzjjjDJ577jlMptL/ZJRSjB49mvPPP7/S8dx5551cddVVbNiwgY8//rhK70UIIYQQp1ZFNcj/8N2/ATTVWvfTWnfA2CkvBZiDUXaxHuihtb5Lay1bTJ+gjP37+OiBu1j62QwKcrJZ+tkMZjxwFxn79wU7NAAmTJjAvHnz2Lt3r79t6tSpxMXFlUpWf/31V9LS0rjkkkuIjY0tczyHw8G4cePIz8/nu+++K3W8V69e9OrVi6lTj+05U1BQwKxZsxg3bhxWq7VK8X/++ecA3HDDDeX2GTFiBK1ateLbb7/F6XQC8MUXXwBw3XXXoZSq0msez/XXXw/At99+W63jCiGEEOLkVFSDPADYDdyhtfZPZWqtNyql7gK+xSi/GK61lppj4JPH7z9un3Z9+tPv4tH+/l3PGka3IcOY+cg9FGRn+/u5nU4O7tzO+3ffQouOnf3tRf3zsjKZO+UZki8aRWLf0zjy117mv/Nasdf6+2PPVtM7g3HjxnHfffcxffp0HnzwQfLz8/n444+5/vrrS9Ufb9iwATBmnitSdHz9+vVlHp84cSJ33nkne/bsoXXr1syePZujR48yceJEtmzZUqX4KxOTUopevXrxzTffsG3bNrp16+Y/r1evXqX6HzlyBK/X639us9mIjIysdEw9evQAYOvWrZU+RwghhBCnXkUzyHHAmsDkOMBvvvtFkhxXj+jmrcpst9odNRxJ2Zo0acLIkSP9q0bMnj2bzMxMJk6cWKpvVlYWAFFRURWOWXQ8MzOzzONXXXUVVquV6dOnA0Z5Rb9+/ejWrVuV4z/RmIrOKyvx7dChA7Gxsf7b2LFjqxRT0ZhFryGEEEKI2qGiGWQ7kFHWAa31Ud/XzWmnIqi6qqoztoH9ew6/gEO7d+IqyPe3WR0hnD3xJroMHlrq3NDIqGLnR7doVa0zxmWZMGECF154IUuWLGHq1Kn079+fLl26lOpXlPiVl/gWOV7SGh0d7U/Kx40bx88//8xrr71WZl+AtLTiv442m43o6OhSMRW1VSamipLY2bNnU1hYCBirVVRVRcm3EEIIIYLnZNdB1tUShSCxb/9SF4CZTCYS+/YPUkSlnXfeebRs2ZLHH3+cBQsWlDl7DPhneFevXl3heEXHu3fvXm6fiRMnkpKSwg033IDNZiu1jFqg5s2bF7uNHj26yjGtWbMGu91O+/bti523du3aUn3PPPNMhg0bxrBhwyocszzr1q0DoGPHjid0vhBCCCFOjeOtg9zMt5pFlY9rrRedeFgNjz00jFunfRLsMCpkNpsZP348zzzzDCEhIVxxxRVl9hs4cCBNmzZlzpw5pKenExMTU6pPQUEBH330EQ6HgxEjRpT7msOHD6dVq1bMnz+fsWPH0qhRo3L7zp8/v9jzxo0b+x+PHj2a6dOn8+6775ab0P7www/s3buX0aNH+9d7vvTSS3niiSd47733/JuYVJd33zX207nwwgurbUwhhBBCnLzjJcjn+W5l0RUc15UYW9RBN910EzabjXbt2pVbGmG323niiSe48cYbGTduHF9++SUhISH+4x6Ph1tuuYVdu3bxyCOPEBcXV+7rmUwmXn/9dVavXl1sRrgsFc3kjhw5kjPOOINPPvmE4cOHl5r93rlzJzfeeCMOh4PHH3/c396jRw/Gjx/P9OnTuf/++3nmmWdKzfQbyyhWzcsvv8yMGTPo0aMHf//736t8vhBCCCFOnYqS2N1ICYUoIT4+nsmTJx+336RJk0hNTeU///kPXbp0Yfz48SQkJJCWlsasWbNYv34948aNK7bmcHlGjhzJyJEjTypupRSfffYZI0aM4LrrruPTTz/lggsuICwsjHXr1jFt2jTcbjezZs0qdRHgm2++SWZmJv/5z3+YM2cOo0ePpl27drhcLnbv3u1fQq5t27alXnfr1q189NFHAOTl5ZGamso333zDpk2b6Nu3L1999VWZuxAKIYQQInjK/custU6owThEPfTcc88xYsQIXn31Vd5++20OHz5MVFQUycnJPP7444waNapG42nevDnLli3jzTff5OOPP+aRRx7B6XTSokULxo4dy7333ktiYmKp80JCQvjyyy/5+uuv/VtSHzp0CKvVSuvWrRk8eDBvv/02Q4eWvphy/vz5zJ8/H6UU4eHhNGvWjD59+jB58mRGjRolybEQQghRC6kT+Xq4vkpOTtYrV66ssM/mzZvp3LlzhX2EOBXkd08IIYSoXkqpVVrr5JLtJ7uKRbVQSpmUUncppbYopQqUUnuUUi8opcJOcLxPlVJaKbWhumMVQgghhBD1W61IkIEpwIvAJuA24DPgdmCuUqpKMSqlLgIuxdjlTwghhBBCiCoJegGkUqorRlI8W2t9aUD7DuAV4ApgZiXHCgfeAF4HTu6qLiGEEEII0SDVhhnkKwEFvFSi/R0gDxhXhbGewkj6H66WyIQQQgghRIMT9BlkoB/gBZYHNmqtC5RSa33Hj0sp1R+4FbhSa51VnRs6CCGEEEKIhqM2zCC3ANK11s4yju0DYpRStooGUEpZMGac52mtP63KiyulJimlViqlVh46dKgqpwohhBBCiHqoNiTIoUBZyTFAQUCfitwLtAf+UdUX11q/rbVO1lonx8bGVvacqr6MECdFfueEEEKImlMbEuQ8wF7OMUdAnzIppZKAR4GntNbbqzm2UsxmMy6X61S/jBDFuFwuzGZzsMMQQgghGoTakCD/hVFGUVaS3BKj/KKwgvNfAI4AXyqlkopuGPXVNt/z5tUVbEREBFlZWdU1nBCVkpWVRURERLDDEEIIIRqE2pAgr8CIo39go1LKAfQCKt7aDtpg1DFvBLYF3FpilF1sw6hPrhbR0dFkZGSQnp5OYWGhfPUtThmtNYWFhaSnp5ORkUF0dHSwQxJCCCEahNqwisUnwIPAncDigPYbMGqPZxQ1+GaCo4DdWuuisot7gEZljPsGRg3zP4H91RWs3W4nPj6eI0eOsHPnTjweT3UNLUQpZrOZiIgI4uPjsdvLq0QSQgghRHVStWEGVCn1KsYSbV8C3wGdMXbS+xU4W2vt9fV7H7gGGKq1XnicMXcCOVrrbpWNIzk5Wa9cebwJayGEEEIIUR8opVZprZNLtteGGWQwZo93ApOAC4F04FXg0aLkWAghhBBCiJpQK2aQawuZQRZCCCGEaDjKm0GuDRfpCSGEEEIIUWvUlhILIRq8rYMG40lPL9Vujomhw5LFZZwhhBBCiFNBZpCFqCXKSo4rahdCCCHEqSEJshBCCCGEEAGkxEKIINFa496/n/y1a8n/44/j9nft38/eO+7EEhuLJSbGuA+8xcViiY5GWa01EL0QQghRf0mCLEQNylu9mvw1a4ykeO0fuA8dAkA5HMc9VxcWYo6IwLVnD/mrV+PJyCjdSSmaPT6ZxpdfTuHevaS//gbR116Lo2MH3IcPU7hzpz+hNoWEVPfbE0IIIeoFSZCFOIVyfvmFwj17iR53FQBpj03GuW0b1vh4QgcMIKRXT0J69sLRsQNbuveocCxbmzbEv/eu/7kuLMR95AjuQ4eM20Hj3tG1KwCew4fJXbqURmMuAyB36W/8de+9/vNN4eGlZ6LjYom86CKsTZvizctDu1yYIiNRSlX3j0YIIYSotSRBFqIaeHNzyV+/gfy1aynYsoWWL76AMpnI/ulnchYtovFVY1FK0eL5/xpJaZMmpcYwx8SUu4pFWZTNhrVZM6zNmpV5PKRnT9r/stD/PGzg6bR+551jCXV6uv9x/oYNuA8dQufnE3raAKxNm5L57bekPfIoST/9iLVlSzLnzCH7xx8xl1XeERuLpUkTlNl8Yj9AIYQQohaRjUICyEYhojK010vhzp3kr/2D/D/+IH/tWpzbtoHX2PTR1rYt8R+8jzUuDk92NqbQ0DqROGqt8ebmYrLbUVYrzm3byPn1V6LHjkXZbBz5aAZHP/kY98FDeDIzSw9gMmFuEk3it99ijowk+8cfKdi8hdjbbgWgcM8eUMoo77Dba/jdCSGEEKXV9q2mhai1PNnZKKsVk8NB1rx57H/kUby+BNEUEUFIjx5EnHMOIb17EdK9O+ZGjfznmiMighR11SmlMIeH+5/b27fH3r69/3n0uKv8pSLewkI8vtlnl+/ek56O+1A6Jt97zluxkqx58/wJ8oFnniXn558BMEVGHpt5DpiRtrZoQeT55xmv4XSibDYp7xBCCFHjZAY5gMwgC+3x4ExNxRQSgq11awo2b2bH6Etp+fJLRA4fTsGWLWTMmOmrHe6JrV07lElWSyyP1tqf4OatXkPhju3F6qUDyzy004k1Pp6kef8DYNeECeBy0+ajDwE48Nx/0IWFxVft8CXX5uho+e8ghBCiymQGWYgyuDMyjDKJP/6g4I8/yP9jHd7cXKKvvZam9/8LW2Iisbffhj3JmEl1dOpE8yefCHLUdUfg7G9on96E9uldZj+tNd7sbLzZ2f62qEsuAe+xD/D569bh3Lq1WB8/sxlLkyaEn3M2zR97DIAj06djT0oibOBAwFgmz9ykCSabrTremhBCiHpMZpADyAxy/ae15ugnn5C/Zi35a9dSuGuXccBsxt6xAyE9exLaqxchfZOxtWoZ3GBFmbwFBcbMc9Es9KFDuNONe3u7RJpcNxGAP5P70ejS0TR94AG8BQX82ctIzs1RUcbss28mOvCiQ0fnztjbtQvm2xNCCFGDyptBlgQ5gCTI9dOR6R/iTk8n7p93AZA64gI8WVmE9OpFSM+eRrlEt26YQkODHKmoTtrtNpapCwnBW1BA5ty5xxLqgJvnUDra5QKgyY03EnfXnbgzMkg5ZxjNHnqIRpeOxpWWxuH3ppa5OYs5KkrKO4Q4jq2DBpe7Sk+HJYuDEJEQBimxEPWaLiyk4M8/jZUl1q6lcMcOEr74HKUUztRUXH/95e+bMGsmpqgoufirnlMWC8pi/F+cyeGg8ZgxZfbTWuM5ehRP+rELDAEajxmDrV1bANxpaWTOno03N7f0AFYrliZNsMTGEnvHHYQPOgPXgYPkLFhA+NlDscbF4S0sRCkluxyKBqus5LiidiGCTRJkUSe5DhwotsxawcaNaKcTAEtcHCG9euHNzcUcHk6zyY8VS4YDV5kQQimFpXFjLI0b+9ssjRvT9IH7/c9DevWi46qVePPyil1YWKzM49AhTHajvrlg8ybSJk8moVNHrHFxZH3zLfsffBBz48ZlryEdd6zEQ77JELWR1hpdUIA3Px9vXj46Pw9vQQHevHxMYWGEdDM2KDr6xRdYmzcnbOBAtNdL2pNPovPyKxzbnZFR7N+fELWBlFgEkBKL2slbWEjBxo3Y27fHHB7OkQ8/4sBTTwGgrFYcXbsa5RK+lSWszZsHOWLR0Gm3G3d6OuboaEw2GwWbNpH908+lVu5wp6eD2+0/r+2cOTg6duDoF19w+J13SfjkY8xRUeQs+RXnn1tK7Xwo34SIkjw5OeiCAiy+DYbyN27Ec/gw3vwCvPl5aF+C6y3I9z82N27sX45x/2OTMTkc/g+I2y/5G4W7d6Pzy09ywwYPJv6dtwHYNvRswgYMoMUzTxvPB5+JslqLfYtXUuOrrqLZIw+jXS4OPPMskRdfRGjv3sVWwRHiVJESC1EnaK1x//UX+X/8gS0xCUfHDhSsW8eucVfT6o03iDh7KGGnD6Dpgw8Q0rMn9s6dZVUCUesoi6XYDoeOLl1wdOlSqp/2evEcPYr7kJE02+JbA2CJicHeuRMm37rUOQsWkDFjRunXsVoxxx5Lmlu9+CLKZiN/3To8mVmEDx5kvI4kGkGntUa7XOi8YzOv3vw8Y1Y2L5+wgaejzGbyVq2i4M8/iR47FoCjn39O3po1RjKb75vBzc9D5+X7HuejrFbaL1wAwP6HHsaZkkLit98AcOCpp8lfvbrMmJTNhgoJwdG+PfgSZGWxgOXYxkYR55yDNz8fU4gDFRKCKSQUU0hIseeWmGM7g7ad/QWmkBD/8/aLFwGwuVPncn82jcZcBoDrwEEyv/6akJ49oHdvCjZsYM+NN2FPTMTePglbUhL2xCTs7ZOwREdX+b+BEFUhM8gBZAa55nnz8ynYsMG/1Fre2rV4Dhk1aUUXTHkLCshZvJiwfv2kPEI0WJ6cXNyHDgZsylLiYsPMLBI+/wylFPvuu4/8VatJ+ulHAHbfeCMFGzf5EukYLDGlyzysTeOwtpSVW7yFhXgyjmKJbmzMfB44gDMlxZegGjf/44CZ2JjbbjPKaX74gSPvf0D81PcwhYZy6NXXOPLBB3jz88HjKfd1O6xYjjkiggP//S8ZM2bSae0awJjRzVm4EFNICCo0BJMjxEhQQ0OMBNURgikinKb33gtAzq+/4s3KInLECAAKNm3C63RiCi1KbIvOc/hr9GtCRQly5y2b/Y+11uDxoCwWnCkpHH7/fQpTUnGmpODNyfH3M0dH+xPnxldfjb1tW7TXKxfMiiqTVSwqQRLkmqHdbg48/TT5a/+g4M8//X80rG3ifatKGKtLODp0kIuahDgB7kOHcGdk4OjQAYCMWbMo2LTJP1PtPnQI9+HDxRI2W1Iiid8Ys45//et+zI2iaPrAA4BRV6pstuLlHRERZc5Kn8rVCrTH40tM8wLqYY2yAVu7dlibNcN96BBZ339P+NnnYGvVkoLNm8mYOcvoW5BfbOY1MOlt9fJLhA0cSNYP/2PfnXfSds5XODp25MhHMzjw73+XHZDF4k8646dNxZ6YSNb8+RydNYuWL71kbLn+00/k/v67b+bVcSxB9T0vehzSvRvKasWbm4v2euvULpyVcbK/F1pr3AcO4ExJxZmyDWdKij9xjv/gfUK6duXo7C85+N//0vbL2VibNaPgz614jh6VGWdRISmxEDVOFxaifOUP+x9/HNxumj/5JMpiIW/1GsyNG9Hkhuv9SbFcpCFE9ShKYos0vvLKUn20x4MnI8OfMAcyRURgCju27fiBZ58rtUGLstuLJcxhA0+n8RVXVLhaQdZ33/kS0tL1sOGDBxNxzjm4jxxh7+230+Taa4kYNoyCzZvZde0EdH4+urCw3Pfc7PHHafz3y3EdOMiBp5/B2qoVtlYtcR8+QvaCBf5EtihBtTZqVGxWtujn5ejWlWaPP44lLg6AiHOH4ejS2ZhxDQk5NhPrcPj//y1Q5LnnEnnuuf7nEeecQ8Q555Qbd0mmsLBK961LTvbDkVIKa7NmWJs1I3zQGf72wEk+W3xrIoYN89dfZ3w8i6OzPgbA3Lgx9iSjPMOWmIg9qb0kzqJCMoMcQGaQT5z2eincudPYgMO3soTn6FGSflmIUoqDL05Be9z+rwGlJlKIusOTnV3mqh2BFxyGnTGQZg8+WOFX6aUo5ZtBDSH62muIueEGPNnZ7P3HrURfew0RZ5+N68ABDr/1dvGSgtDis7CmkBBsbdtiiYlBu1x4cnIwR0TUaAmBqH3chw5R8OfWUjPOgaUalmbNSFrwM0opcpcvR1ms5e74KeonKbGoBEmQK8+TnV1smbX8devwZmUBYIqMJKRHD0J69SJm0g1lzrIIIeqnihLkdt/M9c3aGrOwym6XD8qiRpUs1fBmZRN7+20A7Bp3NdrjIWHWTAD2P/oYymLBlpTom31uL9901kNSYiFOivvQIbIXLCByxAjMERFkfPQRh15+BZTC3r49keef79+Vzta2rVwoIYQoxZ6UFOwQRANXXqkGQIsXXsCbneV/XrhnNwXrN5S+ODApCXtSErakREJ79SpzhRpR90mCLEpxZ2T4V5WIGDKEkJ49caamkvboY1hbtCR80BlEXnQRIb164ejeHXN4+PEHFUIIIWoxa9M4aBrnf95m2jRjxvngQZzbUnCmbKMwNRXnthQyv/4ab04OjcaMofmTT6C9XvZcfwON/v53Is8bjna78WRlSY1zHSYJcgOn3W6cW7ceK5VY+weFu3YZB81mLDExxsxw794k/vA91jZtALC1bo2tdesgRi6EqI3MMTHlrlYgRF2jlMLatCnWpk1LXRzoPnjQvxKMJzPTWFGl0NjR1Zmayo5L/hYw45xorOPsu0niXPtJDXKAhlCDXLSyhDc/nz2TbiR/wwb/DknmmBj/bnShvXrh6NpVtr0VQgghqsh18CBZ336HMzWFwm0pOFNTyyzViL3zTkL79Mabm4vX6ZTEOQikBrkB0oWFuNLSsMXHA8YFCObYGFpNmWIsUxQWRqPLLvMvs2Zt2UIumBFCCCFOkjUujiYTrvU/918cuC0FZ0qKP3EuWus/++cF/HXvvbSb+zX29u3JW72agi1bZMY5iCRBrkdcaWnFVpYo2LgRc3S0fwvSiHOH+beuBWj95v8FK1QhhBCiwSh2caBvC/hAjm5dibv/X/4yxuwff+LI1Kn+41KqUfOkxCJAXSuxKNi6ldwlv/ovqHOnpQGgbDYcXbv6d6SLGH6urCohhBBC1BHFZpxTjVnnUqUaZjOd1qxG2Wxk/fA/vLk5NLr00uAGXgdJiUU9UPDnVo5+8Tmxt9+OOTyc7B/+R/obb2Bt1YrQvn19F9P1wtGxo6w9LIQQQtRR5c04BybO7oMH/H/rM+fMwX3okD9B3nPTzXhzc42dA5OSsCcmyc6BVSQJchAcb096b14e+Rs2+GeGm0yYQGjfvrgPHuTop58RNfISQrp1pfHYK2l85RXFtpQVQgghRP0UmDgHavXG68UuArS1iSd/7R9kfj239MWBiYnY2ycRetoAIs8bXmOx1zWSIAdBWclxUfv20aNx/rnVv3SMrU0bPBkZAISdPoCOK1f4t0+1yLJJQgghRIOnlMIcEeF/3vSBB4DySzUyv56LNy/fWLNZa1LPP5/osWOJvuYatNtN3urVDX7nQEmQaxlzVBRNJt1glEv07Fnsl7MoMRZCCCGEOJ6KSjV0QYHxuKCA0H79sLRoAUDh7t3sHn8NAOYmTYwZ5ySjRMOWmNhgEme5SC9ATV2kt7lT53KPdd6y+ZS/vhBCCCFEWbx5eeStXoMzZZsx45ySijMlpXipRpMmNH98MhHDhuHOyMC5bRsh3brVyb0T5CI9IYQQQghRIVNoKOGDzii9c+CBAzhTUv2Js9U345y3fAX77riDhM8/J6RbV3KW/ErOzz9jSyqaea54xvl412UFiyTIQgghhBCiXMVKNQISZ4CwAafR+p13sLdPAqBw504y58zBm5vr73NsHeckf+Ic2rs3ymqt8LqsYJIEOQjMMTHlfloSQgghhKgrzFFRxeqbo8ddReOrxuJOS/PNOKfgTNlGYUrqscRZKTquXuXfSbA2kgQ5CIL5lYEQQgghxKmklMLavDnW5s1Lr+Oclkbh7j2YQkKCGOHxSYIshBBCCCFOucDEubaT/YeFEEIIIYQIIAmyEEIIIYQIivKuvwr2dVlSYiGEEEIIIYKitl6XJTPIQgghhBBCBJAEWQghhBBCiACSIAshhBBCCBFAEmQhhBBCCCECSIIshBBCCCFEAEmQhRBCCCGECFArEmSllEkpdZdSaotSqkAptUcp9YJSKqwS5zZWSt2hlJrnOy9fKfWnUuptpVTrmohfCCGEEELUH7UiQQamAC8Cm4DbgM+A24G5SqnjxXga8AKggdeAW4HvgHHAeqVUl1MVtBBCCCGEqH+CvlGIUqorRlI8W2t9aUD7DuAV4ApgZgVDbAE6aq1TS4z7LTAfeAK4rLrjFkIIIYQQ9VPQE2TgSkABL5Vofwd4FmMmuNwEWWu9s5z2H5VSR4Bu1RJlNXr9/sVw1FX6QCMr/3h2cM0HJIQQQggh/GpDiUU/wAssD2zUWhcAa33Hq0wpFQVEAAdOMr5q1yQhAje6WJsbTZOEyCBFJIQQQgghitSGGeQWQLrW2lnGsX3AQKWUTWtdWMVxHwaswAcnG2B1u/jKznywYSnafSxJNinFOouLTZ/8gd1hxuGw4LBZcFjNhFjNOKwm/2O71eRrM5c6breYUEoF8d0JIYQQQtRttSFBDgXKSo4BCgL6VDpBVkpdBtwN/A+Ydpy+k4BJAPHx8ZV9iZMSFmWn68DmrF/0F0WprElDy5VZxfq50WQoOAS4lMZddK/ABbiVxqU41g64TaDNoMwmTFYTJotxb7aZsNrMWGwmbDYLVrsJu8OCw27GYTP7E257QMJ9LAk3lUjGfW0WMyaTJONCCCGEqF9qQ4KcB8SVc8wR0KdSlFIXADOAVcDlWmtdUX+t9dvA2wDJyckV9q1WXaPwLtqHGYUHTZtzW9GheQTuQi+uQg9up4cCp4fCAjfOAg+FTg+FhR7jWKEHT6EXj8uL1+3F6/Ias9GessLXgMd3K6PuGXChyVeQjS/hVkZy7iovEQ9o12aFyWJCWRQmqwmL1exLxk1YbGZsNjN2hwW73eSfEXdYzITYjiXdRpuJEFvxGXG7xexvc1hMWMy1oSJICCGEEPVdbUiQ/wK6KKXsZZRZtMQov6jU7LFS6nxgNrARGK61zjrOKUGxNDWdu77ewH29Yjn8xxHiesbw+KbdvNarNwMTY054XO3VuN1e3IUe3IWl712FHtyuMtp8ybeRiLspdBrtLqfRPzAZLz8RL1KUjJeIjWOJdS6aTIUv6T6WlLsonYgXPXbhmxkvmhG3mrBYjSTcYjNjtZux2UzGjLjVYsxw24qScSPBdliNx/Yy2hwWM46ipN1ixmpWNV6q8uYvqfRoFVXsd2Bpajrr9mZy01mJNRqLEEII0ZDVhgR5BTAc6A8sLmpUSjmAXsCiygyilDoP+BJj2bdhWuuMao+0mqzbm8lrY3vTMyaCebkbGH5lJ+LTW7Jub+ZJJcjKpLDazFht5mqMtjSvV+NxGUm2q6JkvKitRFJe6HTjdBqz4i5n8TE8vhlxr0uD93gT+l7fzVWsxaOOzX5noTlcRiJebpmK77jXpFAWhdlmwmQxY7YpbL5k3G43Y7NZipWhFCXc9oAylBCbUYbiCChL8SfjAfXkRXXjth8PsObQLtaUeJchsQ6QBFkIIYSoMeo4FQinPgClugN/AF+WWAf5Nox1kK/WWn/ka2sORAG7tdZ5AX2HA3OArcDZWuvDJxJLcnKyXrly5Qm/F1G9vB4vbpfXnzyXmYy7yknKA9qcTrcvEfeWnhV3eeEE/gl4AY/Jl2ADhWgKOfbcXe7seOk2jwKTxUTfAjMJBQozx2auPcDBWDN724VgM5uwWkzYzSasZhM2y7F7m1kVe36s3VSiXWH3Pa+oj80sF3sKIYSo/5RSq7TWySXbgz6DrLVer5R6HbhVKTUbYxe8zhg76f1C8TWQnwGuAYYCCwGUUskYybHCuCBvRMk/7EUJtqhbTGZf8uY4ft+T4fF4A5LqogS7RFJebBbcSLZLJeq+UpWimfGi804mETcBcYc8xBzOweNLpj2+RNsNONHkAIVa41EaD0bybdwbfTwBz4uOu9EB7eDhWEmLB2MWXvnqy02WYwm0vWQiXWZ7ycRbYTObsVqUv81WIskva9ySfQLHNMvFoULUKZ/8eznpe3NKtce0CufvD/cPQkRCVCzoCbLPncBOjNUkLgTSgVeBR7XW3uOc241jF/NNKaePJMiiXGazCXOICXvIqfvnoLXG69a4Co2Eufhs+LHZ7qX/20nWnhxMKLxowpqG0KlHHG63MePt8d27fTXh7hJtbpcHj1v7j3vcJ5aYl4pfgTaB16TxKo9xM1EqAXcDLq3JBY5qLy7AqbU/ofcn6f7zAhLzgMTdeK4D2o0YipgU5SfngTPtvqS8/Nny8mfg7SXGM849luwXHfMn8/6kvubr12sTqaUXRbRX4/F48bo1Ma3DObI/F2/ANSwmsyImPoLCAjdmiwlTA/+3I2qXoJdY1CZSYiGCaWlqOvd+uIar0i1ot0ZZFDNi3Pz36hO/eFNr7a8ZD0ykix4XtfvbirVr/wy4x+2rOy/Vx3duwPnFkndfu7fCCzsrSQFmhTYpMIHXpIykXSm8JvCqY8m6f5a9qKxFawrRuDQUai+FWlOoNU6vxun1Bsy6l07ai577Lz+txN/vokT5eOUuNou5eHJeLBkvOYuujjNTX34ZTWDCf6pn35empnPrzDW8Ntb4vS35XFQvr8eLx2P8+/R69LF/x24jMTX+/XnxuIxkNbDduGnjuO+xcdz32GN8++XxBLYH9Cvn9TwebVxLctzrSEozWRRms6n4vcXkT6AD74u1FfULONdsLeecEq8ReP5xxzYrlHyDVa+UV2IhCXIASZBFMBXNvLl+T2fD4r/odmZLrP2b1IuZN69XH0us3eUk164yEvUy+vjb/X00HpfHd26JDwMlXrM6KLNCmRUU3UwKbfYl7cqXtAcm7AHJd9FMusuXrLvQFHo1hfiSdq+mQHtxeoz7Aq/G5dXFymXcUKkkvTxmk/LXmZee/S6jPKbCZLwo8Vb+cbLn7MVzpPTS9vYYO22vSsKkFBj/QymFwtgoydfsO2Y8D2xXvoP+dl9bUd/yHpsCzivrNSkaRylMgWMU/Zw14NVoL2hfsqk9RmkWHo3Xo9G+WVKvR/uOa99z31KcHnz3J5OwBiakx9qr+0+4yaSOJYsWE+Yykk1/8mg1+RJM5etrwmw2lvws2b77aB7LF++jhUsZP1MF+62a5EEtiW8UYvwMPMeSc29Rol30c/EcazM+DAT+rAJ+ToH9qukbtOP+jHzlaGbfz8RU9N5998bPK+DnYS7j3JL9zCbM1qJEPrBf8bFN5oC2gH51aY+CYJff1NoaZCGEoSgJzo2J4Mj+XJIvSCAsyl4vZt1MJoWpBlZYqUhRmUuxGfOSM+hlzapX0KesJLxUv8A+ruMlNAo4/s9ImRWmojXIfQl7YNJuzLIHJuu+WXaMi0uLEm1/6QvaSNo9mkIPFGqPcfN6ydbGLHuBV1Pg8VLg9VLgMZL4Qm/pDx3D8qx0x4wlIIt3o1mTlcu/PyhnAkIb79oMmIsea1WiTQUc8z0v1r+sttJjmLTxh88EWDSYUL77Euf4xrCczKeRcrgxSo28Ad94eJT2rcJzrL3oQ5bX99h/M4HHDtphHNf+Ywpv0XOT77Hvw1pRH0zHvnHRSvnLp/D1VyaT/8OHSYFSGoUHlDegvfgHFDygPGAqLOvDyrG+ee1sxG0pxILCpTV7OoWSjxNbTqH/Gw+rwyh5shQ9D/iQVvTcHnjM98HMYlLFPrhZzQqrSWFWJsxoTL7/rtqjj59cB868VyIJ9yf1Rf3dXn+y7yoo/qEn8ENO0Rj6BGbaj0eZVBnJd/EkvPhsevFk3WQp8SHHHNBmPX6CXpl+ymSU1DRrF1lm+U2zxKhq/7lUhSTIQtQyYVF2Rt3dN9hh1DtKKWNGxmrCFhK8OIpWZ/H6asU9bo8xm3gSiXrZJTJll78UzVieGJPvZiQ8ZqvJPxNm8v3h0zbIOZhf7CwLioERYZzu5dgMq0ejfbOvx73SpKqU8SECk+/Dg8n44FDyHtOxfv6br/3Yc4oyRX8iqc3qWMmPotgHEm1MQxuPlfFhRStjHXevMqaktVJobawPr7Sxk6pC4/uf8WFO4+9T9KHK3+5rM/oCaLze0u1aa/94/jbAq4tey9ff97joNQkYx6sDx9S+OALbjx33eLXRXvI1ix6bFSlhmg65sC1Usyu3gJSsfAo9Xtwer+8DmpdCd3X/QhxT9A2K1WQk1lbzsesJrGYTlsDnvmsN/Am3OaB0yaqwOowNrGxms9HuL5U6luDbzMeug7BaTFhNyt+vKMG3KFXsA5sJMGuN0qp4Qu9LvIsn4QEJdwVJuP9cV8kPCF5cTnfx1yjxIaDo249qp8BsMeHR3lLbJ2gFmxorzqr+V600SZCFEKIGFa3OEkzaq4snzRXWkJdVwnLsYtCSs+fpWQXkpOcR7j0285pt1jRq4iA2ylHq6/hiX+WX+fV9YB1q4MxW8frUwHHr0tfLDUnRdRYdHA7WWvP57+juZX5DprXG4zW+0XB5vbjcRvLs8ngp9Hhxeby4fcl0yWPuEv38x71eXG7jWJnjeLSv77FxnC4vOQVuCj3HzjvW/9jYhZ4aSOgDknirxZfgl0jibSUT/KKk3uZLzM0mrBazP3E3PhAce2z3l1spLAEfIGxmY4beQsA3MihMWmPWyv8BT3nxlxf5k/cSZUSBdetFj/cezuPPPw4R7Tb+3SozbLR7uKp99Cn7uVaGJMhCCNHAKJPy70Jpr+ax3/wllQHntmTzu3/icXkxW02cfn1HNh/N46o6XksvTpz/Yk3fRcd9K7h4UymFxaywmCGkEiVHwRaY0PuTZ48vIfceexx4zF1G35Iz6f5jAQl6UZJfOsH3ku/y4CowZuDdXu1P4stK8E+VolKXotIYI9EukeD7Ztj9SbzdRH7nEJLX5xvlNx7N5eO7Br28UBJkIYQQ1cZ/QenpmWxY/BedBzbnrJ7Ng/pVqQi+oh1ki5KegYkxvDa290nvIFsb1MWE/lgC7UvMvaWT+JLJeaG7nJn0oqTe7RvH97jMBL9oht/tJa/Qjdt7rO+fIV4655ugbThn9Wwe7B+TJMhC1Cbfbv+Wl1e+SFreQZqFxnFH8j+5sN2FwQ5LiCpLvrCt/2JTIcpaiWdgYkydT47rIqWOlW1gC3Y0hqLym86hdj7Nz6JfanrQfzckQQ4SSYRESd9u/5bJSydT4CkwlkDKP8jkpZMB5HdD1DlysakoSf7uibJUpfymJsk6yAFqah3kYomQj8PsYPLAyQ3u/yyKfv+UUri9btxeN3azHaUUhW4nBe48IixhKCCvMIdcVw6xjmhAk+k8Sm5hDi1Cm4LWHM4/THZhNgkRLUF7OZB3kKzCLNpHtAHtZW/ufrILc+gc1Ra0lx3Ze8l25dAjKhG0l61Zu8j15NE7Kgm0ZmPmdvLc+fRr1AG0l9WZ2yjwOBnYqCNoL8sy/sTtdTOoUUdAs+jIRtCaMxt1AK2Zd3gdVmViaFQHAOYeXkuosnBOlHH+Z4dX08jk4Nyo9qC9nLH5DbK8pdePbW6NYF7HG5lxZC3x9mgGR7UHZebT9FW0DYmjX1QiKBNfpa+hXUgzekQmgMnEd+lraBfagk4R8aBM/HT4D9qGtaRdeCu8aH47son48Ba0DmuOB1h7dButwprTNDQWt9b8mb2T5qHNiHZE40KzJ3c/MSExRNqjcGsvBwsO08gRTagtHLfWZLlyCLdFYLPY8Xg9OD1O7GY7ZpO52H9nUf9JIiRKkr97ojzB3n1TNgqphJpKkId/Ppz9uftLtTczhTDM0Yyh9qb0t0aT5y3khZwtnGdrSn9LI7I8Tv6bn8JIaxz9LFEc8Th5tmA7Y6xx9DOFc9BTwNOu3Ywzx5JsCmWf18lTrn1cb2pCHxXCTu3k35793Kqi6YWdbdrJkzqde3QjemBjoy7gCdNRHnVH0FVbWIuTxy05PFMYQidtZrly8bgtnykFDjp4YJHZxRMON2/nmmnn0fxo8fJkqObDTE28x8s3Nvh3uJkvjzhp7vHwhcPMvyPtzDuQTazHw4wwG882CmPxvkM08nj4IDyU56MjWbZzL2HayztRkbwS3YhVO3ZjA95oFMX/NY5i3Y7dKODlxlG8HxXJmp17APhvdCM+jwjn9117AXg6ujHfhYeyZPc+ACY3iWZRqIOf9/wFwEMx0ax0OPjfXuP5fbFN2GS38c1e47/NXXEx7LRa+HJfGgC3No3loNnMp38Zzyc1iyVPmfho/wEAJjSLA2Ba2kEArmrelHCvl7cOHALg8hbNiPN4eM33fFTLZiS43Ew5mA5A94TWUEYCqbRm3c49DG3dkiF5eTx2OAOAM+JbclFOHg8cMZ73b9OKy7NzuOfIUQB6J7Tm2sws7sjIRAM92sZzc0YmtxzNpBDo2zaeO44c5frMLHKU4vSE1txzOINrsrLJMJk4s00rHkg/wtjsHA6YzQyLb8mj6YcZk53LPouZ81u35MlDh/lbTi47rBZGtmrBcwfTuSCvgK02G5e2iOPF9EzOLXCz0W7jitgIXs3IY0gh/GE1c31jG69kezndbWK1RXFHOLySZ6a3trLCrHnQUchLzjC6YuF3s5d/W3OZ4m5EkrLzmypkiimL51Us8crOUgp4U2fwnKUVzU12ftW5fOBJ52lbAjEmO796s/nUfZAnQjoQZbLzqzuDr10HeTS8M2EmO7+6DjPfeYAHonpgN1lY6jzEIudB7mnUC4vZytKCAyx3HuCOxn1RJjPL8tNYX5jODU36gjKzPO8vthUe4aqYPqBMrMr7i92FmYxq0gtMZtbm7uOAO5vzonuAMrE+7y8y3HmcGd0VlJlNuXvJ9bro17gjKBNbc/dTqD10i0oEk4kdeQfwAEm+Dzt7C9LRStE6rAUoEwcKjmAyW4kNiQFlIqMwB5PJQpQjCpSJXHc+JpONEGsoKBMuvJiUBbO5+r9ErI2JkPZ6QXtRaLxeDy6PEwsmzCYTbk8h+a48Qsx2LMqEy1NIVmE2kdYwrMpEgbuAo86jNLFFYlVm8tx5HC44QjNHE6zKQnZhNgfz04kPa4ZVmTjqzGR/fjpJYS2wKhPpBUfZV3CILuGtsSoTaflH2JN/gN6RbbEoE/vyD7Er7wCnRbXHjGJX3gF2FhzkzKiOKDQpufvZkX+Qcxt3Ae1lS95f7MxP5/zGXUBr1uXsYbfzCBf5jq/K2c3ewgwuiTKe/5azizRXNqOiOoH2sihnJwdduVwW2QHQ/Jizg8PuPP4eYXxw/zZnO1keJ1dGJIH28mXOdvK8bq4KMyYWZuXuwIuXq0LagNa8n5uKGbja0RrQvJW3nRBMjLe3Au3l5YIdNFIWZhTuZ78uLPXfJgwz/3S05fKQVqDMvJSXSqI1gotD4sFk5o2cP+lga8yw0NagzLybvZlOthgGhbcGZWJ65iY6O+LoF9YaTGY+zlhHl5Dm9AhvhcbEnKMb6RzanI5hLfAoxY9Ht9AhrCVtQ5vi0vBb1jYSw1rQMjQOl/byR/Yu2oQ1J9bRBBdetubuo0VIHI0djXFpL3sK0olzxBBuC8eF5rAzkyhHY0KsYbi1h1yPk1BbBFaLHS8Kj9aYLTZMptpfmxxMwfxQLRuF1CJpuWllth/w5PFVTiqt9m+kf54Ll8nEjzFhdDmYSv8CjctkYlljK/0P/wUuhUspNkXC0cwj4DbjNsHuUDd5hfngseA1wRF7AU63F7QNbdK4LC683jzQHkzKg80MJjQoE1aTlRisWKyhYAohhELaai+28DgwhRCuC+jmSSekUXP4//buPE6Oom78+Oc71+7sfSabe7kSI7fcyi1INIRDRYGg5vd4vBBQBH3wEVCCByKICAgPAmoUhUcuAYHIHSCBELkPTSAkgc29m2x2d3Z2zq7fH9VDmsnMZnfZ2ZmN3/fr1a/eqeqjurt6u7q6utofptH08fFUOxVVE8EfpsXp5djERiomt4K/jCnpHj6baCe8207gL2dqsos5iXbK99gV/CH2THZxVmIjof1mgS/Ix5Jb+E68neChp4AvwMGJzZTHN+Gbcgb4/Bwe30RTYjPs8lXw+TkmvonWRCd8ZDqIj5mxdvZKdcOetpDxuVgHhyYjsO9uID5Oj3UwIx2FA3cBEf6rr51TnAR8vBXExzdjHfSZJBw+GRDOj28mYdJQOR5EuDDeabtqrBgLCD9JdGEQCDeCCL9MRhDxQcgWSm5IRfGJH0JVID7mpeP4xAeBMIiPO4xjp/cHQXyMe+g01sU6tskXLeFmOO8fPJyKIziAD4xhfqLbfsTAHwInzQN9myj3BezyjcO9kbVU+8shWAlOirsiq2kIVECwmoCT4taeVbSEaiBYTXk6wc3dK5m8ex0Ea6hMJ7iu+x12mdoAwRpq0jGu7FnB7js1QbCaunSMH/csZ99JYyBQRUMqxg8iK/joOPu7MRXlvMhKdm0eC/5KmlK9fDP6Lq31LeAL05SKcFpsNeNqxoKU05DuZUZiLQ2VY0BC1KYiHJTaSE1ZMxCgyullmuNQHqwE/JSZNGPwEUynwEnjI0bIn0QiG8FAShL0BuPQ/TY4DhF/itVlDk778+A4dIQc3gj7cFavBMdhTdjPM1VlfH/Fq+A4vF1Zxv01lXzvzQVgHF6tq+HW2lq+88p8AJ6rr+XPNTV8/YW7AXiyoY57q6uYvfhWAOY31vNIZQUnP3MjAH9ramBhuJzj2q4C4PamRl4qL+Nw9+bs982NLAuF+Psae3N2/Zgm2oIB7nFvzq4Y20yn38f/rbU3Y3NbxhAX4Vb35uyCcWMIGPide3N2zrixVDsON7o3Y3PGt9CSSnGdezN2yoQWdk6m+NXGTSA+Tpgwlj0TSX7W2Qvi46QxtRyQSHNRJGnPpYYyPpGA8/sAn48vVMPRKR9nJmzePa0izox0kK+ky7mmrIeY74NvycfSMX7+9A+Y+cjlxI3D6WURzkgGODkVoNekObUizlfjfk5KQCdpTquGs/sMs+IOG8Vwaq2f70aSzIynWSOGUxvLuagrxoy+JCv8cFpzDT/t7OHYaIxlAR+ntjRy1cbNHB2N8lpZkNnjW7h+/UYO74vxclkZc8aP5aZ1GzgkFueF8jK+Pm4s89ZuYL94nMXhcs5qGcNf1q5nr3iCRRVhvjO2mTvWrGN6IsnTlRX895gm7l29ll2SKRZUVXBhcxMPtq1lcirFE1WVXNLcyKPvraElneax6ip+1tTAk++upslxeLSmmisa61n0bhs1juHh2mqubqhnyao2wsYwv66G6+vreHnlewSA+XW13FJXw6tuRcBD9XXcVlPFDLciYH5DHfdVVXH809e/n/cerazgxPdusb+bGlgULufk5+bZ382NvFIW4vNL/vL+77dDIb74wp0APDqmiTWBAKe9ch+IjyebG+jy+Zjd/hiI8GxjDUkRZm9+FkR4sb6CAPCl7lftzV9tkBoH6F0O4mN5FTQbWB8i5xcge02aVZ1vQdu/wDgsqg8Sj6eY1f0MOGnub6njyL4Yx2zaAibN76ZM5KSeCIe6FQHXTpnI6d0RDui0vy9rncQ3tnSz15Yu0sAPd5rM2Z1bmLalm7gI32udxHmbO9mpq4eoTzh7yiQu2NTJl7p76PL5+H9TJnJxx2a+2BOhw+/n1MkTuLR9E5+N9LIuEODESeO5rL2DWZEo7wUDnDRxPFdu7GBGb5S3Q0G+MGEcv97QziejfbxRFmL2+BZuWL+Rw/rivBQO89WxjdzY3sVBSYd/loU4t6GSG7bE2ScFi8sCXFTt5zcRYbrj59kgXBZ2uLavnJ0lyCJ/mmuCMX6VqmWihFjoS3KzL8IV0sxYCbGQGH+mi8v8E2nwl7HQ6eGedCeXlu9Eta+MhU4385MdXFwxlbA/xLPJLTyRbOf71bsT9AV5NtnBc/EOzqvbG5/Pz+J4Oy8nNvHN+n3A5+effetZltjCGY37gPh5KbaOdxNdnNywt60IiK5jfSrCjIY9QXy82beeTZ6KgGXRdfQ4cfavmwY+P+9ENxA3aVZGNzB36TxiTqKkmhdqDbLHiNUg3/FJ1vVt3CZ8XHgMj3zh8YKvX5WmB+86jbk9rxHzbe0jt9xxmFu9FzM/f3sRU6bslxHS2O8NOxgnRdpJ2hsU45BIxUmm41QGysFJE0lEiKdjNIaqwRg641voS0YZX94IJs36vnZiqRit4bFgHNqi64mm+phWOR6cNMsja4il4+xRZWvh3ux+l4STYN+qyWDSvNi9krRJc2DlZFuo6H4bjOETVVPASfNY11uExMfhbvzfu5ZSIX4+WWHnv6NrGfW+IMeG7fL/2P1vxvrLmVE+HhyHG3qW0uoP85myFjAOv4wsY5q/klnBZjAOc/veZj+pYlagAYzDBfEVHOqr5gSpYa/km3m/7vt6cHeSwPfSbczy13NMoIE+4EeJVcwKNHN4sIEIaS6Lr2JWaCyHBBroMimujq1kVtk49gs10GlS3BBdwazyCewVaqDDSfKH6HKOr5jE9FAD7ekYt/WuYGZlK7uG6tiQjnFP7wo+XbUzrcFa1qejPBBZyYzqnZkYqmVdKsojkZUcV70rLaEa1qZ6eCryLsfW7kZToIo1yR4W97ZxdO1U6oOVrEl281LvGo6omUpNsII1iS5ej67hsLppVAbCrI1vYWnfBg6pnUo4UM7aRCfv9LVzUN1UQr4g6xNdvBvr4GO1uxH0B1kf72JdfDN71e6K3xdgY2IL7YkuPlqzM+Lz0xHvYnMywtSaVhBhc6KHnnQfUyongAhbkhH60nHGVbaA+OhJ9RFPJ2kKN4L4iKZjpIxDTVkNIMSdJA5COGhv1FPGQfDhd2/U3/8U3jAbtuueY88/wZ6Tfcle/MYQ8gXAOGx2KwoqfCGMk2JtdD1V/jC1gTBOOsk7Pe/RGKqmIVBJKp3kX10rGFdWR3OomkQqxstdy5lS1kRLqJq+VIznt7zFtPAYxgWr6U318dSWpexdMZ4JwWq6kr081rWUA8MTmBSsYVOyh/ldb3FE5UQm+SvZkOzh/p7lzAhPYlKggtWJbu7ufYfPhiczyRdmZbKLv0ZXMbt8EpN8ZSxLdnFbbDVfD01gooR4PdXFrcn1nBdoYZwJ8GK6m3nOJi6iiRZ8POtE+B1dXO7U0+zAE0S5xd/LdfEKGo3wkC/OzcEE8yJ+ao3DPUGHm8oNd29JUZlO85dy4abKII9u6CFk0txSGeK3NZUsaVuHOGmura/hD56ntL9sqOOO6iqWuDdnP2+o54GqCha5T2kvbaznyYoKFrTZ3xc3NfB8uJxH27Y+pX2zLMSD7lPa88c0sSIYICo+1gW3ra8dVzmORz7/yMDzxhBpE4sBGLE2yFoQUrnceCgP9rzDNfV1rA/4aUmlObdzCzOrd4EzFxY7dUoNiFYAqFz0ujcKGYOTTtqnzMYhmYyRTMeo8JeBceiN9xBL99EYqgEnTWes01YEhJtsRUB0I9FUlJ3D9j2h93rXEk328ZEqWxHwVmQ10VQfX379mpw31YLw2ldeK/hmahOLEjKzow16Nm9bEIq3FTtpqpjOXMhMQF9XUaPZub4xzHXWb1MQOtc3poipUsWm171RSARfYGs/cMFgmKAnurKyiUrP73qmUO/53cL0DyxuMh/s1WZqZrrlt+e8qW4JNw8t3cNEC8jFoAUhpdQOSgtCKie97qk8SvWmWgvISimlho8WhJRSg1CqN9VaQFZKKaWUUsVRojfVvu1PopRSSiml1H8OLSArpZRSSinloQVkpZRSSimlPLSArJRSSimllIcWkJVSSimllPLQArJSSimllFIeWkBWSimllFLKQwvISimllFJKeWgBWSmllFJKKQ8tICullFJKKeWhBWSllFJKKaU8xBhT7DSUDBFpB97dzmS1QNcwrrYJ6BjG5akdg+aLoRvuc7TUjKbtK6V8XKz9NlLrLeR69LqnRkox8sYUY0xzdqAWkAdJRG4yxnxjGJf3gjFm/+FantoxaL4YuuE+R0vNaNq+UsrHxdpvI7XeQq5Hr3tqpJRS3tAmFoP392InQCnVrx39HN3Rt69QirXfRmq9hVyP5jn1H0drkIuslO6WVOnQfKF2BJqPVS6aL1Q+pZQ3tAa5+G4qdgJUSdJ8oXYEmo9VLpovVD4lkze0BlkppZRSSikPrUFWSimllFLKQwvISimllFJKeWgBeRiIyA9E5E4RWSEiRkRWbWf6aSJyr4h0ikiviDwjIkfnmdYnIueJyFIRiYlIm4hcJSKVBdkYNSxEZKqI/FhEFotIu4j0iMgrInJRrmOneUKVKvd/Wq4hkmNazcc7mFK6vg1m2aqwSukaV6h8oW2Qh4GIGGAz8BKwH9BtjGnNM+0uwBIgBfwa2/n614E9gE8bYx7Lmv4a4NvA34D5wHTgW8AzwDHGGGf4t0h9WCJyOXA2cD+wGEgCRwFfAF4DDjbG9LnTap5QJcv9//YM2748kzTG/NUznebjHVCpXN8Gu2xVWKVyjStovjDG6PAhB2Bnz99vAKv6mfYOIA3s4wmrwn7BbxnuTYsbvjvgAHdnLeNbgAFOL/a265D3OO8P1OYI/6l77M7RPKHDaBjcfDVvANNpPt4Bh1K5vg1m2TqMSL4oiWtcIfOFNrEYBsaYFQOZzn08cAKwwBjzimf+CHALMBU4wDPLaYBg74q8bgaiwBlDTrQqKGPMC8aYXJ9mzdS47QGaJ9ToISIhEanKE6f5eAdVCte3ISxbFVgpXOMKnS+0gDyy9gLKgOdyxC12x96DeQD2TmqJd0JjTAx4Bf2HMBpNdMcb3LHmCTUafB57ceoRkY0icp2I1HriNR+rQuaBwS5bFc9IXuMKmi+0gDyyxrvjNTniMmETsqbvMMbE80zfJCKhYUyfKiAR8QM/wraVus0N1jyhSt0SYC62kPwV4AngHOAZT42y5mNVyDww2GWrIijCNa6g+SIw1BnVkFS441wHPpY1TebvXNNmT5/48ElTI+DXwMHAhcaYZW6Y5glV0owxB2UF/UlEXgN+BpzrjjUfq0LmgcEuWxXHrxnZa1xB84XWII+sqDsuyxFXnjVN5u9c0+abXpUoEfkJttbtJmPMzz1RmifUaHQl9gI10/2t+VgVMg8MdtlqhBXpGlfQfKEF5JG11h3nqvLPhHkfFazFPk7IdfAnYB9DaA1LiRORucDFwB+AM7OiNU+oUccYk8TNi26Q5mNVyDww2GWrEVTEa1xB84UWkEfW69hHAYfkiDvYHb/gCfsn9hgd6J1QRMqBfbKmVSVIRC4BLgH+BHzNuH3QeGieUKOOm98msvVFHM3HqpB5YLDLViOkyNe4wuaLYvelt6MNbL+fyDuxffbt7QnL9Nn3Fh/sD3BP+u8P8Ixib68O/eaFH7nH6U+AT/OEDqNtABrzhF/p5rcLPGGaj3fwoZjXt8EsW4cRyw9Fv8YVMl/ol/SGgYh8CZji/vwWEAKucn+/a4y51TPtrti3wpPA1UA39qsvewIzjTEPZy37Omy7nr8BD2G/KPNtYBFwtNGvTZUkETkb+A3wHvBD7AnvtcEY86g7reYJVZJE5GpsTcyT2LxcBXwG+8Ws54GjzNavZWk+3gGVyvVtsMtWhVUq17iC5oti34HsCAOwAHtnk2tYkGP66cB9wBZsA/KF2M8n5lq2H/gu9oswcWx7ml8BVcXebh36zRPz+skT2+QLzRM6lOIAnAg87OaxGNCL7Yv0QqA8x/Saj3ewoZSub4NZtg4Fzxclc40rVL7QGmSllFJKKaU89CU9pZRSSimlPLSArJRSSimllIcWkJVSSimllPLQArJSSimllFIeWkBWSimllFLKQwvISimllFJKeWgBWSmllFJKKQ8tICtVwkRklYgYd5jZz3RvuNMcOXKpGxwROdJN44Jip6XQRORrIvKiiPR6jl9dnmnneKYZzHBkAdI97Mcok97hWl6hiMhEEfmliLwuIhERiYnIahH5p4hcLyKfL3YaC8HzP6a12GlRqpQEip0ApdSA/VxE5hv9BG9JE5HjgZuxX557FNjsRiXyzLIc+GOO8EOBXYBXsV+vy7b+QyVUvU9EDgceAKqBTcCzQDtQD+wDnAV8EbirSElUSo0wLSArNTpEsd+Wnw3cWuS0qP6d4o6/bYy5eXsTG2MWYj+N+gEiMg9bQL7XGDN3OBPYjyXYz7ZGh3GZ04dxWcNORMqA27GF46uAi40xsaxp9gN2yBpkpVRu2sRCqdHhWnd8qYiEipoStT2T3PHbRU3FEBhjosaYpcaY94ZxmUuNMUuHa3kFcBgwHlhrjPleduEYwBjzojHmByOfNKVUsWgBWanR4W5s7d5OwJkDnUlEFvTXXlVE5rnxc/KFi8juInK3iLS7bTMXishRnmmPF5GnRKRLRLpF5H4R2W076aoUkctFZIWIxEWkTUSuE5HGfuaZJCLXiMgyEelz17XITaP0t+0icriIPCgiHSLiiMhJ/e+595cRFJFzROR5d319IvJvN+0NufYZkNk3T3raC88dyPoGytuuV0S+6knf+22dReSjIvJjEXlWRNaKSMI9hg+JyIw8y83ZBllEWt3wVWKdJSKviEhURDpF5D4R2WN7ac0Kf7/tq4gcKyKPu3koKiKLReSEfrZ/JxH5s4hsdI/JmyLyPRHxD6FN7Rh33D7A6b3pGMo+zrQ5nyci9SJyrYi858lbZ3qm3V1E7hCRDW78EhE5Ls9yvXniGyLysrsvN4nIPfmOz3a2T0TkVBF5xD134m5ab863f0XkU+65tlFEkiKyWUSWisjvReRjg02DUsWiBWSlRo//cccXiUjVCK1zf2zBfCrwOLAM+ATwsIgcJiLfAu4DBHgY2952FvC05C/shtxlnQO8AfwdKHd/PyciY7NnEFsgfx34Nvb/1j+A54G9gD+Quw1vxinAk8BkbJvgx4Hk9jZcRMqBR4DrgD2Ap9201gHfB14SkZ09syx007HB/f2w+/uP5G5D/KGJyHXATUAc24b2RSBTGD0f+KGb3leBvwGrgE8D80Xk/CGudh7wK2Aj8CDQBZwALMraHwP1Vey+qgIeApYCBwH3So4X49yC3gvY5kZ92PzXBvwU21RisDK15XuIyCcHOe+H2cd1wHPYphuLse2edwX+V0S+LyKHuOEfxebffwEHAA+KbTOdk4hcDfwv9rjcB3QAJwPPi8ihA90wEQli21zfjm0P/y/gfqAX+Bo2/++fNc8c7LGcgW1bfxewCNsefw7wqYGuX6miM8booIMOJTpgL7YG2N/9/bD7+5Ks6d5ww4/MCl+QK9wTP8+Nn5Mn3ADnZ8X9wg1fhr0IH+aJK8cWJA3ww6z5jvQscxkwwRNXDTzmxt2RNd84bME7BXwFEE/cJODlPNuwwLO+bwxh31/hzvvvrLSGsTX6Bngux3z97vNBrD9zDObmiMts1xbgwDzzHwG05gg/yD1uCWBinmO0ICu81bPOFcAunrgybEHZADfnS2s/eTsOzMiKu9iNezsrXDzH+3dA0BM3DVjrSec2255nP/k8y3SwhdGLgc8AzduZdyj7eI4njXcC5Z64T7vhPe7++W7WvFe68Y/3kyd6gcOz9tnP3bj3vOvLOg6tWeGXu+FP5diGc9y45UDAE77CDf94jvRNBD76Yc4JHXQYyaHoCdBBBx3yD2xbQP6YexHv9l68KVwB+dkc89R7LsaX5Yg/2Y17Iiv8SM98x+eYb1dsITgNTPKEZwrkv8izDfu78S/m2fZHhrDfw24hxQDH5ohvAiJu/CcGs88HkYbMMZibIy6zHy8c4rJ/5s5/dp5jtCArvHU7x+5AN25FvrT2k7d/mSMuhC38G2CyJ/xwN2wzUJ1jvm960tk6iP0xHvu0wOQYXsY2a/IP0z6e44Z3A0055nuln3Ovga03FcGsuEx6c+1PP/COGz87z3FozVpP1D0HxuTZvgfc+WZ5wnqBzg+T73XQoVQGbWKh1ChijHkJuANb43rRCKzyHznS0IntCitnPFtfThufZ5lbjDEP5FjucuwjZR+2IJTxGXd8Z57lvYgtrO7jNovIdk+e+fqzH/aR/1pjzKM50tqBbW4BtlBZLP1um4hUu21ILxeRm9x2r/PYmuapg1xfitzHPPMSXr5j3p9ceSGBrY3MXuYRmXmMMT05lnXbENaPMWatMeZTwN7YJhMPsbWpzD7YJgv/kBwvyH6IffyCm4+yLXfHuc69zdhzLwTka8L05xzzpdna/OTI7PgcjsLeJD5ljNmYZ5qn3PEhnrAlQJ2I/ElE9hXZ9t0ApUYL7eZNqdHnYuBzwJkicrUx5t0Crmt1nvAI9gKdKz7ijnMVVsHWWOWzCtvGeaInLNOu9Z8DuN42Amuywoayfya445X9TPNO1rTFkHfbRORE4PfY2sB8aga5vnXGmFR2oDGm2z02ZYNcHmxtA5yt2x1781FmX+fcbmNMl4h0AbVDSAfGmNeA1zK/RWRv4ALgdOAY4FxsM4dM/IfZx/2dW9uLbyT/+ZUvz65yxxPzxHtlzrmZuV6wzNLs+fssbHObL7lDl4gswbb9v9UYo313q1FDC8hKjTLGmOUicgv2se+Pse1yh2p7T5G291GSQn20xHtR9rvjv2Jf9ulPPEdY3xDWnymJ91c4KHrtmDEm57aJyERsjWEY25b0NmwBqdcY44jIN4DfMvhtKMTxHsoy+zsuw5ZGY8yrwGz3pdgTgJNwC8jDsI9L4dzKJ3POLcM+1enP8+8v2Jh/i8g04DjgaOzN7lHAscBcEfmcMSbXEwilSo4WkJUanX4MfBk4Q0Su7Ge6zNfb8vV6MWVYUzUwrQOIW+sJa8O2T/6JMebNAqUpW6b2bqd+psnEZddYl4LjcV8mNLn77911hNMzXDL5Ime+FZEabBv54fYItoDsrS0t1X3ciu1RI1c4fPDcyqfNHb9ujJkzmJUbY5LYZjMPAIhIPXAJtvb9dxT3iYtSA6ZtkJUahYwx64BrsOfwZf1Mmim8fSQ7wu1OrRj9ktaJyGeyA90uwg7G1nA97Yma745PyZ6ngDLtmifk6vrL7cJulvtzwQima6Ayj/zbsiPEfjnucyObnGGTyRfH5+nq8LTBLnCA7WQnu2Nvs4dS3cezswNExI/9VDYMLL8+hu0K8Rhx+9UeKvedhf/G1oiPF5Hm7cyiVEnQArJSo9cv2NrvcL6azsfd8dkiMi4TKPYjF38kf81yoV2VlZ4q7ItQfuBv5oNfcrsS2x71QhE5W0S2efIlIgeLyLAVoN2mCze6P6/JSmu5m9YqYLExZtFwrXcYZV6a+5y3X2n3JbPr2NrGdLR5CttGuAH4lTcviP04zY+GsMxZ7oc0jhaRD1wT3Q9lnITt1gxsM5+MUt3HZ3n7O3ZvAC7F1mivwXZR2C9jzAbgemxfzfeLSK4b7HoR+Vpm20WkQkTOz1MAnoktb3RjeydRquRpEwulRin3haTLsf31VuSZ7A7sxwz2Bd4UkUXYN+APwD5qvRfbrnIkPYctCL8lIk9gm4EcgX18/Q5wtndiY0ybW0i5C/gN9kMpb2Lf5h8P7OKO/0r+ni6G4ofYLuSOBN5209qH/TTxOOzLZdvU1pWI+7Hdk+2LTfsCbPvtT2BfYLsW+9GVUcUYY0Tky9i+ir8OfEpEnsMW5I7CPtY/AFvjm8i3nCw+bNeEJwObReRl7EdQarAf6cjcfN4O3OyZr1T38c3AUyLyNLAO+5RoGjbvzs7Xbj2HC7Dn1ReAN0TkFewLgOXY/senY/+XTMf2+BECrgKuEJHXsb3ZONjzM/NBke+7TTCUKnlag6zU6HYd+d92z3SXdQy2xrMP+/LMR7C1xx/HfsxgpCWwL/D8FvslvBPcsOuBg3O96W6MeRLYHducZCO2KcZJ2ILQ28APGOZu74wxMeyXv76N/YrYUcCJ2FqwK4CPGWNW5F9C8bg9TRyBTec67HYchm2isB+2YDcquS/OHYB9Ka4SW7BtxdaSzgZasAWzzQNc5D+wH+i4CvtS2m7AZ4FM05o7sX0/n26Mef/FuRLex+cD38LWsp+E/ZT2vcBBxpin8s/2QcaYpDHmi9g8/wC2sHwi9v9GALv/T2Zrby4RbD/Ud2HbZh+HPbfr3GkPNsbciFKjhBgzkBdalVJKqdImIpkC6hvGmD2LnZ6RlOmOzRhT9N5VlNoRaA2yUkqpUUNEqkRkeo7w6cBN7s95I5oopdQOR2uQlVJKjRoisiu2WU1miGCbWOyHbdv+BDDjP62tq9YgKzW8tICslFJq1HD7Or4E2459EvaFuF7gTeD/gBv/0wrHoAVkpYabFpCVUkoppZTy0DbISimllFJKeWgBWSmllFJKKQ8tICullFJKKeWhBWSllFJKKaU8tICslFJKKaWUhxaQlVJKKaWU8vj/Q6+fxZR1gNwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Third Experiment\n",
    "N_set = [100, 200, 500, 1000, 2000]\n",
    "fig, axs = plt.subplots(1, 1)\n",
    "fig.set_figwidth(10)\n",
    "fig.set_figheight(6)\n",
    "Algs = [\"RF\", \"OLS\", \"Ridge\", \"SPO+\", \"MOM\", \"MOM-OGD\"]\n",
    "for j in range(len(Algs)):\n",
    "    globals()[f\"Loss_{Algs[j]}\"] = []\n",
    "    globals()[f\"Res_{Algs[j]}\"] = []\n",
    "# Loss versus N\n",
    "for i in range(len(N_set)):\n",
    "    globals()[f\"Data_N{N_set[i]}\"] = np.loadtxt(os.path.join('Sample_Complexity', f\"Loss_N{N_set[i]}\"))\n",
    "    globals()[f\"Data_N{N_set[i]}\"][:, [3, 4]] = globals()[f\"Data_N{N_set[i]}\"][:, [4, 3]]\n",
    "    for j in range(len(Algs)):\n",
    "        globals()[f\"Loss_{Algs[j]}\"].append(np.average(globals()[f\"Data_N{N_set[i]}\"][:, j]))\n",
    "\n",
    "j=0\n",
    "axs.plot(N_set, globals()[f\"Loss_{Algs[j]}\"],\n",
    "            label=Algs[j], color=sns.color_palette()[j], marker='x', linestyle='-')\n",
    "j=1\n",
    "axs.plot(N_set, globals()[f\"Loss_{Algs[j]}\"],\n",
    "            label=Algs[j], color=sns.color_palette()[j], marker='^', linestyle='-')\n",
    "j=2\n",
    "axs.plot(N_set, globals()[f\"Loss_{Algs[j]}\"],\n",
    "            label=Algs[j], color=sns.color_palette()[j], marker='o', linestyle=':')\n",
    "j=3\n",
    "axs.plot(N_set, globals()[f\"Loss_{Algs[j]}\"],\n",
    "            label=Algs[j], color=sns.color_palette()[j], marker='s', linestyle='-.')\n",
    "j=4\n",
    "axs.plot(N_set, globals()[f\"Loss_{Algs[j]}\"],\n",
    "            label=Algs[j], color=sns.color_palette()[j], marker='v', linestyle='-')\n",
    "j=5\n",
    "axs.plot(N_set, globals()[f\"Loss_{Algs[j]}\"],\n",
    "            label=Algs[j], color=sns.color_palette()[j], marker='p', linestyle='-.')\n",
    "\n",
    "\n",
    "axs.set_ylabel('Relative Loss', fontsize=22)\n",
    "axs.set_xlabel('Number of Training Samples', fontsize=22)\n",
    "axs.set_xscale('log')\n",
    "axs.set_xticks(N_set)\n",
    "axs.get_xaxis().set_major_formatter(matplotlib.ticker.ScalarFormatter())# Required to set ticks\n",
    "axs.tick_params(axis='x', labelsize=18)\n",
    "axs.tick_params(axis='y', labelsize=18)\n",
    "axs.legend(fontsize = 18)\n",
    "# # Residual versus N\n",
    "# for i in range(len(N_set)):\n",
    "#     globals()[f\"Data_N{N_set[i]}\"] = np.loadtxt(os.path.join('Sample_Complexity', f\"Error_N{N_set[i]}\"))\n",
    "#     globals()[f\"Data_N{N_set[i]}\"][:, [3, 4]] = globals()[f\"Data_N{N_set[i]}\"][:, [4, 3]]\n",
    "#     for j in range(len(Algs)):\n",
    "#         globals()[f\"Res_{Algs[j]}\"].append(np.average(globals()[f\"Data_N{N_set[i]}\"][:, j]))\n",
    "# j=0\n",
    "# axs[1].plot(N_set, globals()[f\"Res_{Algs[j]}\"],\n",
    "#             label=Algs[j], color=sns.color_palette()[j], marker='x', linestyle='-')\n",
    "# j=1\n",
    "# axs[1].plot(N_set, globals()[f\"Res_{Algs[j]}\"],\n",
    "#             label=Algs[j], color=sns.color_palette()[j], marker='^', linestyle='-')\n",
    "# j=2\n",
    "# axs[1].plot(N_set, globals()[f\"Res_{Algs[j]}\"],\n",
    "#             label=Algs[j], color=sns.color_palette()[j], marker='o', linestyle=':')\n",
    "# j=3\n",
    "# axs[1].plot(N_set, globals()[f\"Res_{Algs[j]}\"],\n",
    "#             label=Algs[j], color=sns.color_palette()[j], marker='s', linestyle='-.')\n",
    "# j=4\n",
    "# axs[1].plot(N_set, globals()[f\"Res_{Algs[j]}\"],\n",
    "#             label=Algs[j], color=sns.color_palette()[j], marker='v', linestyle='-')\n",
    "# j=5\n",
    "# axs[1].plot(N_set, globals()[f\"Res_{Algs[j]}\"],\n",
    "#             label=Algs[j], color=sns.color_palette()[j], marker='p', linestyle='-.')\n",
    "\n",
    "\n",
    "# axs[1].set_ylabel('Relative Residual', fontsize=16)\n",
    "# axs[1].set_xlabel('Number of Training Samples', fontsize=16)\n",
    "# axs[1].set_xscale('log')\n",
    "# axs[1].set_xticks(N_set)\n",
    "# axs[1].get_xaxis().set_major_formatter(matplotlib.ticker.ScalarFormatter())# Required to set ticks\n",
    "# axs[1].tick_params(axis='x', labelsize=18)\n",
    "# axs[1].tick_params(axis='y', labelsize=18)\n",
    "# axs[1].legend(fontsize = 16)\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment3-1.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment3-1.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "b2d0304f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Second Experiment\n",
    "# Loss versus Attack Power\n",
    "ap_set = [0.1, 1.0, 3.0]\n",
    "fig, axs = plt.subplots(1, 3)\n",
    "fig.set_figwidth(16)\n",
    "fig.set_figheight(8)\n",
    "#Algs = [\"RF\", \"OLS\", \"Ridge\", \"MOM\", \"SPO+\", \"MOM-OGD\"]\n",
    "#Loss = []\n",
    "#columns = []\n",
    "\n",
    "for i in range(len(ap_set)):\n",
    "    globals()[f\"Data_power_{ap_set[i]}\"] = np.loadtxt(os.path.join('Attack_Power', f\"Loss_power_{ap_set[i]}\"))\n",
    "    columns = [\"RF\", \"OLS\", \"Ridge\", \"MOM\", \"SPO+\", \"MOM-OGD\"]\n",
    "    globals()[f\"Data_power_{ap_set[i]}\"] = pd.DataFrame(globals()[f\"Data_power_{ap_set[i]}\"], columns = columns)\n",
    "    columns = [\"RF\", \"OLS\", \"Ridge\", \"SPO+\", \"MOM\", \"MOM-OGD\"]\n",
    "    globals()[f\"Data_power_{ap_set[i]}\"] = globals()[f\"Data_power_{ap_set[i]}\"].reindex(columns = columns)\n",
    "    sns.boxplot(data = globals()[f\"Data_power_{ap_set[i]}\"], showfliers = False, ax=axs[i])\n",
    "    axs[i].set_title(f\"Attack Power {ap_set[i]}\", fontsize=22)\n",
    "    if i == 0:\n",
    "        axs[i].set_ylabel('Relative Loss', fontsize=22)\n",
    "    axs[i].tick_params(axis='x', rotation=45, labelsize=18)\n",
    "    axs[i].tick_params(axis='y', labelsize=18)\n",
    "\n",
    "x = 0.05\n",
    "y = 0.025\n",
    "fig.text(0.0+x, 1.0+y, 'Random Forest',\n",
    "         backgroundcolor=sns.color_palette()[0], \n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.12+x, 1.0+y, 'Ordinary Least Squares',\n",
    "         backgroundcolor=sns.color_palette()[1],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.30+x, 1.0+y, 'Ridge Regression',\n",
    "         backgroundcolor=sns.color_palette()[2],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.437+x, 1.0+y, 'SPO+',\n",
    "         backgroundcolor=sns.color_palette()[3],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.491+x, 1.0+y, 'Maximum Optimality Margin',\n",
    "         backgroundcolor=sns.color_palette()[4],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.707+x, 1.0+y, 'MOM-Online Gradient Descent',\n",
    "         backgroundcolor=sns.color_palette()[5],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment2-1.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment2-1.jpg\", bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "#for i in range(len(ap_set)):\n",
    "#    globals()[f\"Data_power_{ap_set[i]}\"] = np.loadtxt(os.path.join('Attack_Power', f\"Loss_power_{ap_set[i]}\"))\n",
    "#    if i == 0:\n",
    "#        Loss = globals()[f\"Data_power_{ap_set[i]}\"]\n",
    "#    else:\n",
    "#        Loss = np.concatenate((Loss, globals()[f\"Data_power_{ap_set[i]}\"]), axis=1)\n",
    "#    columns = columns + [\"RF\"+f\"{ap_set[i]}\", \"OLS\"+f\"{ap_set[i]}\", \"Ridge\"+f\"{ap_set[i]}\", \"MOM\"+f\"{ap_set[i]}\", \"SPO+\"+f\"{ap_set[i]}\", \"MOM-OGD\"+f\"{ap_set[i]}\"]\n",
    "#Loss_Data = pd.DataFrame(Loss, columns = columns)\n",
    "#ax = sns.boxplot(data=Loss_Data, showfliers = False)\n",
    "\n",
    "#xticks = []\n",
    "#xticklabels = []\n",
    "#for i in range(len(ap_set)):\n",
    "#    xticks.append(int(len(Algs)/2) + i * len(Algs))\n",
    "#    xticklabels.append(f'Attack power {ap_set[i]}')\n",
    "#plt.setp(ax, xticks=xticks, xticklabels=xticklabels)\n",
    "#boxes = ax.artists\n",
    "\n",
    "#for i,box in enumerate(boxes):\n",
    "#    for j in range(len(Algs)):\n",
    "#        if Algs[j] in Loss_Data.columns[i]:\n",
    "#            box.set_facecolor(sns.color_palette()[j])\n",
    "# for i,box in enumerate(boxes):\n",
    "#     box.set_facecolor(sns.color_palette()[i%len(Algs)])\n",
    "\n",
    "\n",
    "#ax.set_title(\"Relative Loss Averaged on Test Set, 30 Trials\", fontsize = 22, y=1.15)\n",
    "#ax.set_ylabel('Relative Loss', fontsize=18)\n",
    "#ax.tick_params(axis='x', labelsize=18)\n",
    "#ax.tick_params(axis='y', labelsize=18)\n",
    "#x = 0.15\n",
    "#y = 0.87\n",
    "#fig.text(0.05+x, y+0.05, 'Random Forest',\n",
    "#         backgroundcolor=sns.color_palette()[0], color='white', weight='roman',\n",
    "#         size='x-large')\n",
    "#fig.text(0.223+x, y+0.05, 'Ordinary Least Squares',\n",
    "#         backgroundcolor=sns.color_palette()[1],\n",
    "#         color='white', weight='roman', size='x-large')\n",
    "#fig.text(0.48+x, y+0.05, 'Ridge Regression',\n",
    "#         backgroundcolor=sns.color_palette()[2],\n",
    "#         color='white', weight='roman', size='x-large')\n",
    "#fig.text(0.05+x, y, 'Maximum Optimality Margin',\n",
    "#         backgroundcolor=sns.color_palette()[3],\n",
    "#         color='white', weight='roman', size='x-large')\n",
    "#fig.text(0.358+x, y, 'SPO+',\n",
    "#         backgroundcolor=sns.color_palette()[4],\n",
    "#         color='white', weight='roman', size='x-large')\n",
    "#fig.text(0.439+x, y, 'MOM-Online Gradient Descent',\n",
    "#         backgroundcolor=sns.color_palette()[5],\n",
    "#         color='white', weight='roman', size='x-large')\n",
    "#plt.tight_layout()\n",
    "#plt.savefig(\"Experiment3-1.eps\", bbox_inches='tight')\n",
    "#plt.savefig(\"Experiment3-1.jpg\", bbox_inches='tight')\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "09376468",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Third Experiment\n",
    "# Loss versus Attack Power\n",
    "ap_set = [0.1, 1.0, 3.0]\n",
    "fig, ax = plt.subplots()\n",
    "fig.set_figwidth(10)\n",
    "fig.set_figheight(10)\n",
    "Algs = [\"RF\", \"OLS\", \"Ridge\", \"MOM\", \"SPO+\", \"MOM-OGD\"]\n",
    "Loss = []\n",
    "columns = []\n",
    "for i in range(len(ap_set)):\n",
    "    globals()[f\"Data_power_{ap_set[i]}\"] = np.loadtxt(os.path.join('Attack_Power', f\"Error_power_{ap_set[i]}\"))\n",
    "    if i == 0:\n",
    "        Loss = globals()[f\"Data_power_{ap_set[i]}\"]\n",
    "    else:\n",
    "        Loss = np.concatenate((Loss, globals()[f\"Data_power_{ap_set[i]}\"]), axis=1)\n",
    "    columns = columns + [\"RF\"+f\"{ap_set[i]}\", \"OLS\"+f\"{ap_set[i]}\", \"Ridge\"+f\"{ap_set[i]}\", \"MOM\"+f\"{ap_set[i]}\", \"SPO+\"+f\"{ap_set[i]}\", \"MOM-OGD\"+f\"{ap_set[i]}\"]\n",
    "Loss_Data = pd.DataFrame(Loss, columns = columns)\n",
    "ax = sns.boxplot(data=Loss_Data, showfliers = False)\n",
    "# positions = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         positions.append((len(Algs)+1)*i+j+1)\n",
    "# colors = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         colors.append(sns.color_palette()[j])\n",
    "# bp1 = ax.boxplot(x=Loss, showfliers = False, positions = positions, patch_artist=True)\n",
    "\n",
    "xticks = []\n",
    "xticklabels = []\n",
    "for i in range(len(ap_set)):\n",
    "    xticks.append(int(len(Algs)/2) + i * len(Algs))\n",
    "    xticklabels.append(f'Attack power {ap_set[i]}')\n",
    "plt.setp(ax, xticks=xticks, xticklabels=xticklabels)\n",
    "boxes = ax.artists\n",
    "\n",
    "for i,box in enumerate(boxes):\n",
    "    for j in range(len(Algs)):\n",
    "        if Algs[j] in Loss_Data.columns[i]:\n",
    "            box.set_facecolor(sns.color_palette()[j])\n",
    "# for i,box in enumerate(boxes):\n",
    "#     box.set_facecolor(sns.color_palette()[i%len(Algs)])\n",
    "\n",
    "\n",
    "ax.set_title(\"Relative Residual Averaged on Test Set, 30 Trials\", fontsize = 22, y=1.15)\n",
    "ax.set_ylabel('Relative Residual', fontsize=18)\n",
    "ax.tick_params(axis='x', labelsize=18)\n",
    "ax.tick_params(axis='y', labelsize=18)\n",
    "x = 0.15\n",
    "y = 0.87\n",
    "fig.text(0.05+x, y+0.05, 'Random Forest',\n",
    "         backgroundcolor=sns.color_palette()[0], color='white', weight='roman',\n",
    "         size='x-large')\n",
    "fig.text(0.223+x, y+0.05, 'Ordinary Least Squares',\n",
    "         backgroundcolor=sns.color_palette()[1],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.48+x, y+0.05, 'Ridge Regression',\n",
    "         backgroundcolor=sns.color_palette()[2],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.05+x, y, 'Maximum Optimality Margin',\n",
    "         backgroundcolor=sns.color_palette()[3],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.358+x, y, 'SPO+',\n",
    "         backgroundcolor=sns.color_palette()[4],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.439+x, y, 'MOM-Online Gradient Descent',\n",
    "         backgroundcolor=sns.color_palette()[5],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment3-2.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment3-2.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b048600c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vZU9nfslIK3qun6DsmfOlLSqnrLJ9fJokHP+PpF/uEGBWjHFpJjz/RMWPX0WPeUWvraL9eJmkj3Zlpi1n+opY0WMmFxdEqtYxEGO8IIRwB3AQsCPJGMunAqeGEN4g6RZWJuzXpBjjWOCKzBfvfwG/DiE0ybzmi/ZrPMkJmpUZupzptS7GOCOE8D/gdJIW5XRAHkUSkHuQnMxdWtGFhKbFGGtrLOjqhOOmJK3OHYF7SD7rfgHmZL7Q/5rkHKMqfb7FZIznPUMI25L8yvkrktb/bYHzQwiXxxivzLaeqwMDsq4kOTnk+BDCdRXMU9R6u04l6ymatjIMaH44yZvDTTHG68uZvm5NbSjTdeJRkv6M/wPOqmDWfJI3wybA6Vm84RY9nj0r2H4rqt96nAs5OZYyrWJ7ZO6ulblV5FchhPVjjMMAYozDQgifknxo/Ibky1D/zLz3l7P8WJJj7KoY4w8rXvtEpgvPJiQnZh4ayw5NVdFxPQHYgCQIlKdnBeVjM8vdHmN8uYrVrPR4rcK08qxq7z+wAsdAjHEk8O/MjRDCjiS/Uvya5MvbnTVZ0Uq8kflbnyRILiDZL0ha5fvXUT1WVNEYz6Vf81+RnLS7Ncl7d2nbZP5+Xc60XNqZJBwPijGeUs70an2+xRg/J7maIiG5RsKxwF0kX5aeiOWMNb26sw/yGi7zU9R/SI6Fv1cwW1F/ua4hhD1KTwzJ2KYHZO6+VwvVzFbRmKhjS08IIXQgOZmppvyLpGViIHBMrODy3ZlWn6IWl8PLm6cCRf35DgghlPeT2fFZrGtlkKtj6bckx/jbRf0Uy7uxrM/o70otf3/m70mZltrtSIbyK69v66uZv0fUYP1h2XE9oZxwDMnoKeUpusTuMRVMr6i8OvsxiGQYtrVDCDuXnhiScYdL9+WuyjpXpfcfqMFjICZjdd+fuZvumlJ0fkDWDV2hCv0+SLpXQNLCXfQLwhckvxZsEULINogtzmy7rhvmds/8/blU+QuZv0eH8scPL3o9VauPcC2q8PMtI+txkEvL9E+/n2S4zkD2r9nVggFZkJxxPZ3kQ6ZMK03mp7U7Mnf/E0LoXDQtc4LJ7ST9uD4r3bczR4p+2jsxfcJVCKEFyU/nrWtiI5kTP84k+alu/7icy5GStNYvJnkMjy79IRVCyAsh7BFC2CdV/CFJH7pWmeUapObfCPjLCu9IHcrFsZR5nIu6Dy3vpMai6SeW+tB8nKQF7QDgnEzZwxUE1etIRmW5OCQX7ygTCEII24UQsg1PP5N0F9i4dPgMIfyWioPuPZm67xVCKNGNKiQXp6moHneSfAifFEL4a+an3RJCcqGU3xbdz7wG7s7c/U/mC2nRvK2A28iya9Mq+P4D1TgGQgiHhOQCMXml5msC7Jm5m+4vPpUkJHcMIbTJsn6tQgiDQgjHVvC8bkKmBZtk/PICgJhc0e0qkq4Wz4cQtiln2WYhhGMy709pRa37FfafD8sujNG/qjsSQrgw8+tK6fKWmT7du5B8wXq81Cwvk5wwui5wTallTyc54XMC5f9KlEtFn2+7p/c78/lxGUkXiSoLyQV0NiinvBfJUKKw/HNOVk+5HELDW93dKDXMWznTi4YYKrrtWmp6eqD+uSQ/ST3BsiF/RlPJQP2V1Ks/5Qytlpp+P5UMCUU5w+CQ/BxYNBbkFJJRAZ4jafmYSBIYImXHby23LhXtB8suvPAhFV8w5JRSyxzNsgH6R5Gc2PcEyWgSRRcDubbUMhuz7MIMo0ne6F8jadl5trzHoArHw3uZZYpapyq6HVtquUqHamLZMG/vVTJPrRxLlWxv98yy84AWy5m3Qep52L/UtKLhAYtuZcYhTc27W+o5m8Cywfw/YNmFNx6v4DnZtZL13pyZZynwDkn3nqIL4Py9oseI5AtC0fBqAzP78knm/r8yf4eVs9wmLBtPdlrmeXsss+2RmfLPSi3TnGVjd88iee09nVl+OCt+oZCafP+p9HiuQr36V3S8Z3sMkATSoves10nOVXgxtY4hlBrqkeT1X/Re8gjJl5Nrq1Dv1qnjeEHmWHicZEzpr1LTvqP8scz/lZrn20w9nmfZLwgR2KeCZaZktnU3ZYdbLHrfPi6L52BUZpkfMvV/lOSXt1mZ8tmkLlxSatmNWDYG+o+ZY3tg5v58So2LXo3j473yjvWqHJul9q1nqfL/ZcoXkvxa8TjJa2sxy4YYfK8q22TZUKpFr81HSC7UVXTxqsdW5DFYlW85r4C3Onqilx+QG5O0FpUbkDPzNCAZDqjoCmkLSb7N/gNoV878y30ToBYCcqZ8LeC/JBcIWJTZt7tIhii6gpoJyLEKtzL7BfQm6dbyI8mHybzMm9PrwJ+ALuUssw5J6+aU1ON+McnPq+U+Bss5Ht6rYv3/Xd4+V7LeXVlOQK6tY6mSbT2UWfbRKs5fFEKfLVW+Z+px+bIK6+kE/I3kA6hoH0dlHvsLKXVBBqoWkPNITtr6iiQoziDpurPP8h4jki8Kb2fqMockFB1GcjJYpJyxxjPLtSI5qfUzktCxiKRf8Kckv4psWs4yzUla5Uam5v8vyZBw95NlQK6tY2Z5x3MV6tS/suM9m2OAZASVa0m+tI7PPG6TSfqFnkU5X+5IRsC4m+T9rWg84+W+Rkha8bclGeLzTZJfJ+aStEhPJOl//AdKXSWx1Dp2JgmUYzJ1nUkS4h8n+Zm/Wan5m5BcRGYEy8YgjqnpHUi+xE0pb18rqcexJENS/kDyZWIJyeviC+Bqynk/LbV8F5JfKIr2YyLJl5P1q3tclPOa7l+qfLnHZma+UZT/+daQ5Aqz35N8wZlKEpq3pYL34Iq2Ceyf2f+vM+tZlHks3iD5dSlvRR+HVfVWNLi7JGkNFEL4C0nQvSXGeEau66M1UwjhGJLW3zNjjDfluj6SfZAlaTUXQugeQuhYTvm+JK3DkaQVTsqVvUh+cbhjeTNKdcFh3iRp9fdr4L+ZCwCMJvmJfQOWnTB1dYxxYI7qJhFjLD1yjJRTdrGQpNVcCKEPyRXadiQZQ7Upycg1A0nGOX4ph9WTpJWOAVmSJElKsQ+yJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUqpn+sKaOXV88KXJwEdc10P1YrJo67dr1OJkita+XxrdTKZK2aVOMY3eWATj3Etz+TBJw3utPzZtLqzBVmV8YNk9VXec+vzrdWJx7iqw2NEgAFZkiRJKsGALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIWiWNunY/Dt68a66roRV18G1w4gsV35dWMlf/6mru2uuuSuc5qPdBfH3C13VUo9XfvXvfyxXbX5HramgN4zjIytr1R2zK4Vt1A2BpYWTKnIV8Mnwa/3xtKJNnL8px7Wrf46dtx3a92pUpP+TWj/l67My6r1DG6buvy9Fbd2PHf7xbOxto1gF2Pg822AdadIaFs2H0x/DBdTBpcM1s49ULIazk39sPvg1adoUHD8pdHf70NXz3BLx3beXzhQDbnw6bHwute0DhYpg5Foa9Bu9cXTd1XUVc/aurOWjd5DldWriU/AX5fD7pc/7z1X+YMn9K8XzXfnEteSvRMXrv3veydaetAVhcuJgp86fw/tj3ueXrW5izeE6Oa1czznr3LJbGpbmuhtYwBmRVy+cjp3H6I1+Tlwc92jXjyoP6cttxW3HY7Z/kump14vmvx/O3l4eUKJsxv6Ba6woBAlAYa6BitaVlVzj5DZiXDy+dA1OHQvO1YLs/wilvwePHwi9vl79sCECAWLj87SyaXaPVrlC9BrB0cd1sK5d2uQC2HQCvngdjv4T6jWCtPrB2v1zXLJHNsVEHBk0exLnvnUu9vHp0a9GNS7a9hBt2uYETXj2heJ65i+fmsIble3nEy1z35XXUz6vPuq3X5a+/+iutG7Xmgg8vqNXtBgIhBApr+fmbXVBH7wtSigFZ1bJ4SWTq3KS1ePLsRTz2xVj+emBfmjeqz9xFSwD48683YJ+NO9G1dRNmzC/g3aFTuPbVoczJTD98q7W59tBNOOrOz/jrgX3p3aE5wybP4ZLnB/P9+GVviNv3asdlB/ShV/tmjMifx5Uv/limPr3aN+PS/fuw7TptAfh0xDSueulHRk+bX2JbJ9zzBZcf2Iee7Zrx7diZnPHY1/Rs34zLD+jDOu2b8dXomZz71DfLbQlfuGRp8f6XtkW31ly474ZstnZrFi0p5L2fpnDliz8ybV4SoM/acz0O3rwr17/xE2fvuT492jVl35s+ZNyMBZy39wb8ZuPOtGrSgBH5c7np7V94/YdJxev+v117c/TW3enYqhFzFy7hhwmzOfXBgRywWRf+/OsNgKT7CcC/3xrGv9/6eTnPZBXtd30SKh/YHxZlWqVmjYNnTobjnoKDb4d/bwpLFsKuF8KmR8HbV8FuF0HbXnDHjjB7Iux/I6y/NxTMg68eIPlqkFK6dbbo/g/PwU7nQpPWMPJD+N8ZMH9aMk/rHrD335LQ17gVTB8JH/8naWEt0v8lmD4K5kyELU+EvPrw5d2w8WFwS6mweNCt0KYH3L9/9R6rZh1gr7/CensngXTyD/D2X2F06svjATfBOjtDi04wdzJ8/0zSGrw08yWrZRfY5x/Q81fQoGkyz5f3wCc3JfvSthfselFyA/j3JjBzTNm6bLgffP0QfPfksrKpQ+GHZ0vOt81psONZ0KQNjP4UBj8Jh/wX/rURzJ6QtEAfeDNcmfrlpGUXOGcI3L8fjPqoavtV0bExcwzs/hfoc1DyHOf/Ah/8E4a8uGx7O52bPHctOifH4MRvky9mSxZW51kq1+Kli5m2MDmupsyfwtPDnuaibS+iWYNmzFs8D0hamjs27cipb55avNzpm5/O4esfTpP6TXh/3PsMzi/7i8rxGx1P/779admoJV9N/oqXRrzENTtdw55P7cnk+ZMB6NO2D2dudSabd9ichUsX8tXkr/jnl/9k4ryJldZ74ZKFxfWePH8yr418jYN6l/yFY/vO2zNg8wFs1HYjZhXM4tMJn3L9wOuZtWgWkITdM7Y4g8PWP4zG9Rrz/rj3+W7qd5zb71y2eGgLAAZsNoD9e+3PTV/fxB83/yPdWnTjiBePYPzc8fxpiz+xV8+9aNmwJaNmjeK/3/2Xt8cs+9J8yiancNh6h7FW07WYu3guQ6YN4cx3z2TR0kV0bNqRC7a5gH4d+9GkfhPyF+TzxE9PcP8P9wNJK/mY2WO44tMrAKgf6nP6Fqezf+/9aduoLWPmjOHO7+7klZGvFG9v8EmDufqzq9msw2bs3n135hTM4dEhj3LfD/dVfhBIGQZkrbC1WjRi3407sWRpIUtTzaALlyzlome/Y+KshXRv25SrDtqYKw7sy7lPfVs8T14InL/PBvz1xR+YPq+Ayw/oy63HbsnuN7zP0sLIWi0acU//frz83UTOeOxrOrVszGUH9Cmx/Ub183jw5G0YPW0+R935KQCX7NuHB367DXvd+D6Ll8bibZ2553pc+MxgFi8t5JZjt+SWY7ekMEYufe57CpYWctPRW/CX/fpw+mPV6z/YoXkjHjx5G94ZOoXLnv+YFo3rc9XBG3P78Vtx5H8/LZ6vY8vGnLBdD/781LfMXLCYKbMXcs9JWxMCnP7oV0yes5Ad123PzcdsQf/7vuCT4dPYu28nBuzam7Oe+IYhE2bTumlDtuuVfCF48dsJ9O7QjIM278pBt3wMwLyCJdXahzIat07C3nt/XxaO0z78F/zuNei9G/z0alLWohNsfTI8PwAWzIA5k+GQO6BjX3jsaJg7BXY6Bzb4DYz/qvLtd9kiabl+9Eho1AIOuwd+fXWyboCGzWDEe/DeNVAwH9bbKwnWsyfAqA+XrafvwTD4KXjwQAj1YOFM2PnP0ONXSVcRgIbNk/lePKt6j1X9xkmAnToMHjkcFs6CvofCCc8nQTB/WNJqOm9K8uVi3tTkMdn/30mL9nvXJOvZ74YkGD94ULKO1j2SFnuAJ06A096HIf9LAjMkj0955kxO9q9F5+TLQXk22Bf2uQbevCzpetF9B9jrquz3vSr7BeUfG8c8niz/9G9hziTotSscfi88fDiMfB82OiAJ8M+cCpO/T4J8zx2zr2MWOjTpwF499mJJ4ZJKW0iP2+g4TuhzAn/7/G98O/Vbdu+2O3/Y7A8l5tmj+x6c2+9crh94PR+O+5At1tqCs7c6u8Q8vVr14r597uOBHx7g2s+vpX5eff6w2R+4c687Oex/h1FQWLVfqLq16MZOXXdiceGyX0i26bQN/9n9P/x70L+59KNLadGwBedsdQ7/2e0/9H+tPwAn9DmB4zY6jqs+u4rvpn7Hrt12LbMfAB2aduDoDY7m0o8uZVbBLKbOn8otu99CCIHz3j+PqfOnsl3n7bhu5+sY8NYAPp/0OXt034OTNz6ZCz+8kJ9m/ESrhq2Ku4UAXLLdJTSp14RT3ziVOQVz6NqiK+2btK9wH/+05Z84ZN1DuOqzq/hpxk/s1WMvrtnpGqYtmMbnkz4vnm/AZgO4+eubue3b29i5685ctO1FfD/te76c9GWVHkut2QzIqpbterXlh7/uTV4INGlYD4A7PxjBgsXL+ond8s4vxf+Pm7GAf74+lJuO2YI/P/0tMZOj8/ICV774Iz9MSFqMb3xzGM/98Vf0aNuUEfnzOGH7HkyfV8CFzw5maWHklylzue71n7i3/7I314M270q7Zo044OaPmDE/+VA447Gv+OiC3Tlgsy48+9X4Etv6cWKyrce+GMPF+27E/jd/WNxi/egXY/jjbusud/8P23JtDti0S/H9b8fN5Ni7PueE7Xswd9ES/vzUt8XB/Jwnv+HVM3dmm3Xa8sXI6UAS6s9+4hsmzFpY/Hhu2b01/a5+q7iF/bEvxrJF9zb036EnnwyfxtptmjB1ziLe/2kqSwojE2YtLN4XgHkFSymMscKW7Wpr1wvy6sGUoeVPn5opb7cekAnI9RvDc79PWpkhaSnc6AB48GAY+UFS9sIf4czvlr/9pYuTMFXUCjnwXtg29cE95cfkVuSLO5OAtckRJQPy3Mnw8jkUH3wAP78BW520LCBvcgQsKUjCZ3VsfGgS4p/uD4WZ18KH10OvXaDfb+G1i5Ltp/v/zhwDbdaBrU9ZFiRbdYOhLy3r251uHV4wA+JSKJibfNGozOsXwZEPwjk/wrThMO5LGP5O0oJcVL9f/Qm+fxY+vTW5P204dNgAdjgju32vyn5B2WOj547QbRu4br1lXWwG3Z/8IrDtaUlAbtUt2ddf3oLCJcmyNdXvPaVfp358fuznhBBoUr8JAPf/cD8LliyocJnf9v0tDw95mP8NT46Z+364j43bb8zu3Xcvnuekvifx6shXeWTIIwCMmTOGdVqtw8mbnFw8z+82/h3vj3uf2769rbjswg8v5ONjPmbHrjvyzth3KqzDgeseyG/W+Q318urRqF4jAP7++d+Lp/9hsz/w6JBHeXToo8Vll3x8CW8e/iYbtNmAn2b8xIl9T+ShHx/ipREvAfDgjw+ycfuN2avHXiW21aheIy766CImzUt+2erXsR+brbUZuz6xa3H3k6d/fppNO2zKsRsdy+eTPqdL8y7kL8jn4/EfsyQuYdK8Sfw046fidXZp1oW3x7xdXDZh3oQK97VxvcYct9Fx/PPLf/LG6DcAuHvw3WzcfmNO3fTUEgH5tVGv8czPzwDw6NBHOXrDo9mhyw4GZFWJAVnV8s3YmZz71Lc0qp/Hfpt2Yad123PDGz+VmGfvvp343Y496dmuGc0b1ScvBBrVr0eH5o2YMicJcYWFkSGpkDdpdhIY27doxIj8eay3Vgu+HTurRMv0wFHTS2xn/Y7N+XnKnOJwDJA/t4ARU+ey/lotissKCyNDJy3b1tRMHYZOnFOirG2zhuSFyvsEv/7DJK57fdn+LlpcmKlLC74eM7M4HAMMmTiH2QsWs/5azYsDcv7cRcXhGGDTtVvToF4en128R4ntNKiXx6hpyU+7L303gf479OTjC3fnw5+n8vEv03jjh0nMK6jtk1dC5ZNjOQ/U3CnLAhAkgQtg7LIPL5YuhglfJa22lcn/aVk4hqRluKg1FaBBk6Sv7fr7JK2T9RpAvUYlwzHAhG/K1nXgfUmAbHx+0qK81Unw3eOwpJpfMrpsCc07woWlujvUawSLUyFry5OS7gKtu0PDpkmXj/SJX5/dDgf8G9bdK+m+8PPrJbtoVFX+z3Db9tBpU+i+HXTbNukqsf0f4d59ku4JHTaEwU+XXG7Mp9kH5KrsF5Q9NrpsCfUawrkl+/RTr2ES1iHpYrPtH+Ds75OAP+J9GPpy8iWhBg3OH8wlH11Co3qN2Lvn3mzfeXtu+fqWCudv1qAZHZt15Jsp35Qo/3rK1yUCcu9WvXllxCsl5vl26rcl7vdt35fuLbrz+bGflyhvVK8R3Vt2r7Te74x5h/989R+a1G/CMRseQ6tGrXh86OPL1t2uL5t22JRjNjymzLI9WvZg3NxxdGzasUydvp36bZmAPG3BtOJwDLBx+41pkNeAt48oeQ5Cg7wGjJ4zGoDXR73OsRsey+uHv86nEz7ls4mf8c6Yd5i/JOkC9/CQh7lsu8vYseuODJw0kA/Gf8CgyYPK3dfuLbvTsF7DMtMHThrIKZucUqJs6PSSX+onz59Mu8ZlT7CWymNAVrUsXFxY3L932JvD6NW+GVcdvDHnP520CG7erTW3Hbclt733C9e8MpRZCxazRffW/OvIzWlYf9kHZmGMJYJocctyJpOFAJGSoaa8PFZeWQihxLIVbWtJqjBmCkMI5a80Y+6iJcX7X5W6ACX2Yn6pUJsXYM6iJRx4y0dlllu8JAnfk2cvYo8b3mf73u3Yvnc7zth9XS78zYYcfOvHTEyF7Ro3fUTS2rjWRkmrZmlrbZT8nZbq77y49GOznJBdmTIn08WSoWuvq2DDfeH1S5MuDIvnJ10wGrcsuViZOgG/vJl0C9jsqCSAdtkCniv7s3KVhTyY+hM8cXzZaUXb73Nw0qf7rStg1MdJq2nfQ2CPy5bN+80jSWvpunvCOjvBcU8nj/2zp1WvXpO+S25f3JkE5d+9nmzz28eqtnx5XQzyGpS8X5X9grLPQ8hLRkS5a7ey2yj6YjRnYtJXfJ2dYJ1dYJfzk37ed+0Bs8dXbR+qYNGSRYydMxaAX775hR4te3DJtpdw2SeXlTt/yOK4Lv0+Vloeebw4/EXu+f6eMtOK+glXZG7B3OJ6//XTv/Lwbx7m95v+nju+uyNZd8jj3sH38uKIF8ssm78gn3qhXlV3o0xrel7IY27BXI5++egy8xZ185gyfwoHPn8g23Tahm06b8PvN/09Z291Nse+fCyT50/m+V+e56PxH7Fj1x3ZutPW3LbHbbwz5h0u+uiiCutR+vEs/X4PsKSwVDezyEo1AolWbh4pqhH/fmsYh225Npt0bQVAv55tmD6vgBveGMY3Y2cyMn8enVo2znq9wybPYfNurYsDc7LutqXmmcv6HVvQpumyD+z2zRuyTvtmDJtct2ecD5s8hy17tKZBvWUV3qhzC1o2acCwyRUPufTduFm0atKARvXzGD1tfolbuqW5YGkh7w+byrWvDmWff39Ikwb1+HXfTkASpPPCCgTRiiyYkQTJbU5Nug+UttO5SfeF4ZUML1fUDaPbtsvK6jVIWg9XVI8d4Lunkm4Dk7+HGSOh3fK7yQDJt5mvHsy0fJ4EYz5bVtfqmPA1tOmZhMPpI0re5kxaVt+J3yVdGiZ+k0xrXU4L4dzJSVB+7g/JSYmbHrXs8V9akPSjro6pmV8+mnXI3B9a8nkB6LZdyfvzpiatwUXLAHTerOQ8Vd2v0iZ8nZyYV79R2ccs3dK8tCAZKeXNy5JW8QZNkpMQa9Ht39zOgb0PpE+7PuVOn7t4LpPnTWbztTYvUb7FWluUuD981nA261Dy8dq0w6Yl7v8w7QfWb7s+Y+eMLXPLdhSHW7+9lZM3OZmOTTsWr7t3697lrnvBkgXJfsyfvNw6lueH/B9o2agljeo1KrPudEvz4sLFfDzhY24cdCOH/u9QGtdvzB7dl/1ilr8gn+d/eZ5LPrqEyz+5nP1770+zBs3KbG/M7DEsWrqIfh1Lnly7Vcet+GXmL2Xml6rLgKwaMXzqPN4ZOpnz90l+Sh8xdR7tmjXkyH7d6Na2CYdu2ZUTtu+R9Xof/mw07Zo14ppDN6V3h+bs0Lsd5+29fol5XvhmPNPmLeKWY7ekb5eWbNy1JTcfsyWTZi3kpe8q7stWGx78dBTNG9Xn+iM2Y/2OzenXow3/OnJzvhg5nS9HzahwuU+GT+PDn6dyx/FbsXffjnRr24SNu7bkpB16cvTWyZjTR/brxtFbd2Ojzi3o2roJB23RhWaN6vNzJniPnTGfDi0asWX31rRp2oDGDWrw5f3yn5NW5JNehHX3SEaW6LIlHHZ30qr3/IDKRxOYPiL5SXy/66HnTkmXiwNvhkbL6V5RFdN+SVqQu26ZrPeAm5KuFlX11UPQfv2ka8Cg+6u2TMNm0GmTkrf26yWjP8wcDcc+Bb13TwJi161gx3OWhblpP0PHPsnJcW3WSboObHRAyfXve11ysmGbdZIuEBsdALPGLjtJcsbopCW41drQtG1muLRyHPlQMg7y2lsn/Xi7bQOH3pmEzZ9fT+b55Jak7/S2f0j6im9+XNKinjb+qyT073lFMs+6eyStuGlV2a/yjHw/+XJ11MOw4f7JF4zOmycja2x5UjLPFick/3fcONmPTY+Ehi2Whf1aMnL2SD4Y9wFnbXlWhfM88OMDHL/R8ezfa3+6t+jOiX1OZLvOJb9gPPDDA+yzzj4cu+GxdGvRjQN6HcABvZPHpqjV867Bd9GrVS+u3elaNm6/MV2bd2XrTltzwdYXsHbztbOq96cTPmXU7FHFJ9nd+s2t7NZ9N87f+nw2aLMBa7dYm191+RV/3eGvxX2WH/zhQY7vczz7rbMf3Vt05/iNjmeHzjsst+X780mf8+mET7lx1xvZvfvurN18bfq07cOxGx7LYesdBsAh6x7CYesdxvpt1qdzs87s12s/mtVvxvCZSReai7e9mJ267sTaLdamd+ve7NljTybOnVg8ckjawqULeWTII5y++en8usev6d6iO6dscgq7dduNu7+7O6vHSaqMXSxUY+54fwTPDNiBHXq3452hU7jl3V84b+8NaNaoD5+PmM41ryQn6WVj8uxFnPzAl1x2QB9eOXNHRuXP54oXf+CxU5d9AC1aUsiJ93zBX/bvw5O/3x6Az0ZM46T7vijRF7gu5M8t4MR7vuDCfTfkf6fvSMGSQt7NDPO2PKc8MJCz9lyPS/frQ8eWjZm1oIAfJ8zmjg9GADBrwWJO27kXF+27EQ3r5TFm+nwuenYwnwxPhnd644fJvDJ4Ivf235rWTRvW7DBvs8bCnbsmFwrZ/99JAF00J/kp/e69kp/vl+eFPybDvB37RNIf96sHYchLyXBhK+K1i5KwfdJLSZ0G3Q8//g/a9qza8nMnJ6M3rLNT0te1KtbeGv5QqjtM/jC4ZWu4b99kyLKDboVm7ZMRJsYPSrpMQNLvea2+yUgbefVg2OvJSWz7Xp9aWYB9rk2+iCxekJxc9/Dhyya/d03yPJw+MGlJrWiYt1/eSro57HBGMvLD/GlJv+/79l0WLoe+BK9fAr86MwnAYz+HNy9PRh0psmAGPH1y0nVlwCfJEGtvXg4npIaLq9J+VeCxo5Mh4Pb+O7TsnGxv0uBkuD5I+ofvcAbsdSXUbwgzRsGLZybhupbd+/29PLTvQ2zbadsSJ4AVefjHh2nTqA3nb30+jeo14qPxH3HHd3dwzlbnFM/z9pi3uXHQjfxuk99x9lZnM2jyIO745g4u3+FyFi1N+ruPnDWSE145gTO2OIP/7vlfGtZryJT5U/hi0hfVGgf4/u/v5+odr+aBHx7gy0lfcsrrpzBgswE88JsHCAQmzZvExxM+Lu6G8NCPD9GmcRsu2OYCGtVrxPvj3ueBHx8o06+3PGe8cwYDNhvAef3Oo2PTjswqmMXQ6UO57/tkSLXZBbPp37c/52x1Dg3qNWDcnHH89dO/Fj+egcD5W59Pp2adWLhkId/lf8eAtwdUuL2bv7qZGCPnb3N+8TBvF314UbnPj1RdIVbSz1Jrtp4XvuzBsRobde1+JZsdr2i15j7fp74D4wbCq+cvf941Qc8dof/Ly8ZBXlVdMavEMb7JA5usNMf4Hzb9A8dtdBw7PbFTrqtSoSt3uJIN2m7AUS8dtfyZVyODTxpcC33VtKqxBVnSmqtZe9hgv6Q/7dMnL39+qRrqh/qc1PckPhz/IfOXzGebTtvQf+P+JUaayLUOTTqwR/c9+GLSFxTGQnbptgsH9D6gxHBx0prEgCxpzXXe8OTn/FcvSE7uk2pBJNKvUz9O7HsizRo0Y/yc8dz13V3FV4pbGRTGQn7d89ecvsXpNKzXkLGzx3L1Z1cXjyMsrWkMyJLWXFe0ynUNVk6jPvKxqUFL41IGvFVxn9qVwbSF0/jd67/LdTWklYajWEiSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiozOdcVUK0p77n1+dbqxGNc1eExIsALhUiSJEkl2IIsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCmlfq4roJXXkA03mgR0zHU9pNXQ5I2GDulUuvDWP7yzOr7mJv/xjt3L7OsNR+2/Ou6rtKqbfO4TL5V5va6JbEFWZfzwkmpHRa+t1fE1tybtq7Sq83WZYUCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYCsVcZGQ4fQ8oADcl2NlVL70/9I79dfq5NtdX/wATpfdVXx/c7X/J3u995bJ9vOtd5vv0W7P/wh19XQamjvAWdx+KVXF9/f/vBj+d1/7sxhjerGuU+8xEY77lrhfSlXHAdZWet8zd9pfcghzH7jDcb/6cwS05rvsQfdbr2FuGQJQzfepEa3O2zHnSicPbtG11kn6ten7Ukn0erAA2jYowdxyRIWDhnCjAcfYs6bb2a1qiZbbknPRx/hlz32YPH4CcXl0+69jxkPP1LTNa+SyX/7O+Qt+67d+aqraNCjO2NOPGmF1939wQdots02TLvvPqb8458lprU58UQ6XXwRBaNHM3zvfVZ4W1Ux6vAjKFy4sE62VVq9BnlstU8P1tu6I81bN2JJQSGz8hcw7PNJfPfuOAC23n8dttl/HQBiYWTe7AIm/DyTz54bzpzpy+rdvltztvpNT7qu15qGTeozb9YiRn2Xz8BXRrFgzuKc7F+RvQecxca77smwzz/mxX9dU2Lauv2246DzLqVw6VJuPPagEtM22X1vNt1zb9p17Q7AtPFj+O6t1xn8zusl5jv3iZcAeO4fVzLiqy9KTDvoz5ew7tbbM/id13njvzcvt65r99mEbQ48jM7rbUj9Ro2YPXUywz77mC9eeJrFCxdkve9pA198lm9ef2mF1pGNFu3as/WBh9Nz8y1p0bY9BQsXMGvKZH7+/GO+f/dNFsypm/fe2087nkXz59X4es9+9AXe+O9N/PD+25XOV3T8ARQuXcqiBfOZMWE8o74dxNevvsjCeXNrvG61resGfTj6yn9y1+m/Y/bUKbmuzirDgKxqWTx+Ai123ZV67dqxdNq04vI2Rx5JwfjxNOhY80MpLs3Pr/F11rr69el+5500Wn89pvzrRuZ//jmhcWNa7rM3Xf91A/n//S/5t9y6wpuJ8+ezdP78Gqhw9grn1u4HxuLxE2h18MFM+deNsHhZeGtzxBEUjB+/4hto0KDEeiuzdMaMFd9eNe1y7AasvX4bPnxyGPnj5tKwcX06dG9O8zaNS8w3O38Bz/xzEARo26kZuxy3Afv+36Y8+bcviBG692nLbwZswshv8nn51u+YN2sRbTs3Y9uDenHERVvz7HWDmDtjUbl12Hr/dWjRrjHvPDCkVvd19tQp9N5qG5q2as38WTOLyzfZcx9mTZlMi3btS8y/94CzWH+7X/HxEw8x8uuBxAjrbNGPXU86hS4bbMTrt/+7zPo33WPvEgG5Wes2rLNFP2bnVy1AbLzbXux12ul8+8YrfPT4gyyYO4dOvddnp2NPovdW2/D45edTsKD6IXnxooUsXlQ3X8Y69FiHI/7yN2bnT+HDRx9g2rjRhJBH646d2GCHndl4t7348n/PlLtsXr36FC5dUmN1ST/fuTJuyPe8eOO1hLw8GjdrTud1N2DrAw9l0z1/w5N/vZAZEycsfyVa5RmQVS0Fo0ezeMIEWh9yCNPuvhuA+p0702yH7cm/4w7aDxhQPG9ey5Z0uvQSmvbrR722bVk8cSIzn3yS6ffdD0Bo0ICeTzzO4gkTGHf6GUlZo0b0fOopCn75hfHnnAMkXSzGn3c+s198sfj+pKuvpumWW9F8111YOnMmk//xD+Z9/AmdLr+M5rvvztLp05ly3XXMeSNpqW3QtQvrvv02o449jgVffVVcx96vv8asF18sDqvVWXd52h5/HM122J6RRx7Fwu++Ky7Pv/U24qICOpxzNnPffZeFP/xI0222pseDDzJ2wADaDxhAow02YPGYsUy+5hrmffIJDbp2oeejSSvxum8nrSDzvviCMSeeRPvT/0irAw4obkktuj/lxn+z1llnUb/jWsz7+GMmXHAhzXbYgQ7nnE39tdZi3kcfMfGSS4tDbuM+fehw1pk07tuXvMaNWTRiBFP/cxPzPvqown3sfM3fadCxE2N+9zvan/5HWh9xePFjCDDhootouu221O/QgbEnn1Ji2e4P3M/iCROYeNHFFa5/3mef0nTbbWmx557MefVVIGlJr9+5EzOfeIIWe+5ZPG+Drl1Z64ILaLL5ZtRr0YKCsWOZdvc9zP7f/5Zt88EHWDxmLEumTKH14YdD/Xr8vMOvaLTRRnS+/HIabbQhiydOZOqNN7LW+ecz86mnmXbHHclx8vZbZe7Pev4F6rVoTqsDDyQuWcKs//2PKdffAIWFFe5TdfTarD2f/28EI79d9kVx2viyX05iYWT+7AIA5s8q4MuXRrLX7/rSaq2mzJm+kD1O2ojxP83gjXt+KF5m7oxFTBwxi+Ov3J6dj16fV24fXKN1z9aMSROYnT+FvrvsURzMWrTrQI9NNufz555gu0OPLp533W22Z+Nd9+TFG69l2GfLjtOvX/0f82fOYP+zLmD4oM/55YtPi6d9/96bbHvIUTRv0465M5Iv+Bvv/mvGDfmRvLzl9zxs1qYte/xuAN+99Rrv3Pff4vI5+VOZNHwYv73xDn511Am8e3/SReKUm+/hxw/eoVHTZmy0824ULlnCkA/f5YNH7ifG8o+T7Q8/lo122pV7zzytxP33H7qHnY/tT4t2HZg4fBhv/PcmZk2eVLzcWuv0ZqdjTqLLBhuxpKCA8UN/4N0H7mJO/tQK9+c3fzyHOdOn8cjF5xBTx+20cWMYPqhkK/spN9/DkI/epXHzFmyw/U7MmjKJRy4+hy1+cyAb77onrTt1ZvHChYz9cTDvPXAX82Yu+1LZre8m7HbSabTp3JUZE8fz7gNlu5Cc+8RLvHLz9Qz56D0AGjRqzI5Hn8h62/2Kxs2aMWPCeD599vHi57Nlh7U49ZZ7efHGa+mz8+5033hT5s2cySdPPcKQD98trnNevXrs839ns8//nQ3ADUftX+HjsXTJkuKgPm/GdKaNG8Owzz/ihGtvYs9T/shTV11SPO8GO+zMNgcdTtsuazNv5gx+/uJTPn7yIZYsSr5kdt2gDzsd158O3XsCMHPKZD545D5Gf5t8/jRp2Yqdj+vPOpv3o1HTZszOn8KXLzzD9+8lnyutO3Zmp+P6033jzSDCpOHDeP+he8gfOxqAvrvswa9//yee+OuF7P7b39O2y9pMGzeGN++6lSkjh9Oyw1ocfWXy69uptyRd4cb+MJgnr7yowv1Xwj7IqrYZTz6ZBIyM1ocfzrzPPmPxhJLfrkPDhiwa9jPjTj+DEfvtT/5tt9Ph9NNpdeghAMTFixl/zrk03X572hx3LAAdL7mEvCaNmXjZZZXWof3vf8/cD95nxMGHMPe99+ly7bV0/dcNzPvkE0Yecihz30/K6rVunfX+1cS6Wx14IPM++bREOC4y/cEHiQsXlulX3fGCC8m/7XZGHnIoC779lrVvu5X6a63F4omTGDvg/wAYefgRDNtxJ8ad8acKt12/QwdaH3ww4/70J8ae9nuabLklXW/6D60PP5zxZ53N2NN+T9OttqLd739fvExe82bMfuUVRp94EiMPO5x5H31Mt9tupWHPnlV6zKbdex+zXnyR+V9/zbAdd2LYjjsx+5VXmfn4EzTbfnsadO1aPG+Dbt1ouvXWzHzyqcpXWhiZ+fQztDniiOKi1kceyeyXXqKwVAtdXrOmzP/sM8aeciojDjyImU8+SZe//42m225TYr4Wv9mHem3bMPq3v2VM//6Exo3p/t//smTGdEYdcSQTLriQtv37U79t2+Xuc9vjj2PJ1KmMPOpoJv3t77Q98URaHXzQcpfL1rxZBXTv045GTbNr11hSkASevHqB7n3a0rRVIwa9OrrMfIsXLmXwe+PosUn7rLdRG7576zU22X3v4vub7P5rxnz/bZmfiPvstDszJk0oEY6L/PTph8yYNIE+O+1WonzmpImMG/I9fXfLfLkKgU1226tMd4yKrL/djtRv2JDPn3uyzLQ5+VMZ+tH7bPSrXUqUb7HPAcybOZ1HLzmXd++/ky33PYg+u+xepe0Vad66LZvttS8v33w9j112Ho2bNmPvPyzr5ta2azeOuuJaJv48lEcuOpunrryYwsJCDr/kauo1aFDuOjv0WIcOPdbhyxeeLhGOK7PFPgcyf9YsHvvLn3n11huLy99/+B4e+PPpvHD932jZrgP7nXl+8bRmbdpyyPmXM3nkLzx04Zm8/9A97HbSacvd1sEXXEaHHuvw8r//wQN//iPfvPkK+595fhIYU3Y6tj8/fvAOD553BsM+/ZB9BpxF605dAHjk4rMpXLqUd+6/k9tPO57bTzu+SvuZVrBgAd+++Qrd+mxCkxYtgSSc7nny/zHwpee4/9wBvHrbv+ixyWbsdcofAQghj4PO/wsTfx7GQxeexUMXnsWnTz1aHJ7rN2jIUVdcS4ce6/DKLddz/7kDeOe+/7K4IJnetFVrjr7yn8yfNYsnLr+ARy89lxkTx3Pk5dcU1yHZTmCnY07i3fvv4uELz2Lh3LkccNaFhLw85uTn8/w/rwTg4YvP5vbTjud/N/wt6/1fExmQVW1zXn+dvNatkvCRl0frww4tN+wszc9n2t13s/DHH1k8fjyzX3yRmc88Q8v9ln2DLxg1islXXcVa559P+zPOoPXBBzH+nHOX+/P97FdeZdbzL7B4zBim3nwzeU2aUDBmDLOeez4pu+lm8po2pcnmm2e9fzWx7obrrMOiX34ud1osKKBg7Fga9VynRHn+XXcx9733KBgxgomXX87SadNpc8wxUFjI0lmzAFg6YzpL8/MpzNwvT2jYkAkXXsiiYcOY/+WXzH71NZptt11S9tNPLBg0iNmvvEKz7bcrXmb+F18y6/kXKBg+nIJRo5j6n/+waMQIWuy9d4XbKbFP8+cTFy4iLl7M0vx8lubnExctYsE337Do559LfqE64nAKho9gwddfL3e9s555hqb9tqJBt27ktWhBy71/Xe6xtmjYz8x49FEWDRvG4rFjmfHwI8x9//0SxxrAkqlTmfTXKykYPpxFw36m1QEHkNesKRPOO59Fw4ax8NtvmXjxJeQ1abLcus0fNIhpd93N4tGjmfPqq8z79FOa/epXVXi0svPuw0Np17U5v7t+J466dBt2PW4D1tmsfaXLNG/TiC337s6c6QuZOWk+rTs2BWD6xPL7eE6fMI+8vECrDsvf79o27POPady8Od36bkIIeWy8215893bZE1HbdunKtLFjKlzP9HFjadO5a5ny7956jU122wtCoOemW9CwcRN+/vyTKtWtbZeuLJo/j7nTp5U7fdq4MTRp2apEiBk/9Ae+eOFpZk6awE+ffsjowd/Qc9MtqrS9IvUaNODVW25gysjhTB09ki/+9wxrb9i3OPxufeBhjPjqSz556lGmTxhH/tjRvHrz9bRo1451Ntuq3HUWPTbTx48tUX7abfdzxgNPccYDT3HohVeUmDZp+M98+vSjzJg4oXi5r1/9H2MGf8vsqZOZ+PNQ3r73drr12YTmbdoBsPmv92XBnNm88d+bmT5+LKMHf8NHjz9Y6f6u3WcTuqy3Ic9fdxXjf/qRWVMmM/jt1xny4XtssU/J1/Q3r7/EsM8+YubkiXz0xEMsWVxA9403BSjuP10wfx7zZ82sdjeO/LGjCXl5tFqrE5C06n/42AMM+fBdZk2ZzPghP/D2fXfQZ+fdadSsGQ2bNqFJ8xYMH/Q5MydNYOakCfzy5aeMH5r8erPhjrvQqkNHnv/nVYwZ/C2zpkxm9Hdf89MnHwCw2V77MmvqZN6+5zbyx45mxsTxvHPff1k0bx4b7bRrcb1CXh7vPnAX44f+wPQJ4/jkqUdo3akzrTt2JsZCFmY+RxfMnsX8WTNXyX7UuZD7ZgKtsmJBAbNf+B+tjziCvKbNCPXqMefdd2l1QKmfrkKg3Skn03LffanfqRN5DRtCgwZlWppnPf8CzXfehQ5//D+mXH8DCwcv/2fehT8NLf5/6YwZxCVLWPTTsOKywtmzKSwooF4VWgLrct2VWfDNN8vuLF3KgsHf0bB376zXs2TyFJbOnLlsVfn5LMnPL9GPdkl+folW0npt2tDhjDNout221G/fnlCvHqFRIxp07VKdXSlh5hNP0u73pzH15pshBFoffAj5me45y92XqVOZ+8EHtD78MJbk57NoxAgW/vgjzXcv2TIYGjem/f/9Hy122436HdoTGjQgNGzIvC9K/ky88IcfIMbi+w1792bRiBElvpAVjBxZ/IWkMguHDC1xf8nkKTRYu2wgW1GThs/iob98SseeLejUqxVd1mvNPqdtzOgfpvPKbct+oWjZvgmn/XtnyAs0aFiPyaNm8+odgyksjJWsvXxb7dODrfbpUXw/r34eBFh3iw7FZYNeG82g18q2SK+opYsX8+OH77LJ7nvTsHET8urVY8SgL8qOcBBCtdb/y5efsvtvf0+PTTZn0z334YcP3inTl7brhn059KIriu9//tyTfPH8U0D225wyakSJ+3OnT6PVWtmdqzF3xrQSJ8vNnT6NkJdH05atmTNtKp16r0frTl0444GSXx7rN2hI687lv4ZDBY/f45dfQF5eHjsecyJNW7YuMW3S8GFl5l+7zyZse/ARtOvajUbNmhFC0v7WskMH5s6YRru1uzNx+LASrdTjh/5Y6f526r0e9erX5/d3PFCivF79+mX6Aacf31hYyPyZM2naqmS9V1jmsYpEmrRoSau1OrLriSezywm/WzZL5tho3akLk4f/zHdvv85hF1/J2O+/ZdyQ7/n5i0+ZMTE5d6Jjr3WZNn5MhV+0OvVej47rrFv2+WzYkDadlj2fsbCQqaNGFt8vWl/T1q2Lt6XsGZC1QmY88QTrPPcsDTp3ZuZzz8GSsidrtP3tb2l32mlMvvYfLPzxRwrnzaPtSSfRfNeSP0GGpk1p3KcPccmSKv+kHxeX3V5cUuqEqxgJmX6FsSgklPpQCPXL/vyY7brLUzBqFI3WW6/caaFhQxp268a8Tz8td/qyGasXAErXNcZILP38xFhiBIou11xD/S6dmXLd9SweP47ChYvo+q8bCBX8PJuNWS+8wFrnnkPzXXaBvDzyWrVk1gsvVHn5GU8+RZerr2bprFlMf/ihcudZ67zzaLHH7kz+xz8pGDGCwgUL6HjB+eS1aFFivji/nJOnYvYBEpIuQmXWU4V+rNXaVmFk0ojZTBoxm2/eGsv623Rkr9/1pct6rZnw80wg6U/8wr+/JsbI/FkFLFm8LJDMnJycyNm2SzMm/lI2/Lft0ozCwsisqcnj8/0H4/ll0LIuDZvutjbNWjfi0+eGF5ctnFd7o15899arnHDtTbRs34Hv33uLwqVLy8wzY8I42nXrUc7SibZrdyN/zKgy5YVLl/LjB++w7SFH0mX9DXnwvDPKzDN5+M88dP6ybkwL585JtjlxHI2aNqNFu/bMmVb25OF2a3dnwZzZJcLs0jInssXiEFlVS8t7/QIhL2T+5jHkw3f44vmnyyy7YG75o1BMn5CMgNJ27e4lQubsqZMBKFgwv0xALn3yYIt2HTj0wsv58cN3+fSZx1gwezYt2rXniL/8jbzi99ZQ5jUWl/OaCyGwaP58Hrn47DLTSj8WhaXux2o8vsvTvlsPYmEhsyZPIq9ePQDevf8uxv5QtgvdnOnJcfHmnTfz1av/o+emW9Bjk83Z4cjjeee+O/jurdeKKlqhEAJjvv+Wd+69o8y09EgfMcYSfdmLHtea3v81jY+eVkjBiBEsHDyYJltswcynyr4pAzTduh/zPvyIWc88w6IhQ1g8ZgwNe5b9QOt8+eXEwqWM7v9bWh54AC333bfG67t0+nQA6q+1VnFZvbZtqd9xrYoWWSGzXnyRZttvT+NNNy0zre2JJ5LXtGnxSYdFmmyW6ltXrx5NNt6EghFJICkOY3n1aqW+Tbbux4xHH2Puu++yaNjPLJk6lYZrr53VOuLixeV+aSicN4/Zr7xK6yOPoM0RRzDnjTcq7SJS2rwPP6RwcQENunRm9kvlD3/VdOt+zHrxJea8+iqLfvqJxWPHVunLVsHw4TTs3Zu85s2Lyxqu05N6rVpVuX65MGNSEnibtFj2BaZwaSGzpi5gdv7CEuEYYOyP05k/u6BEq3CRBo3rscmuazN6cD6L5idhY9H8JcyauqD4tnD+EgoWLS1RVjRvbZg+fhyThv9Ml/U3qrB/8I8fvkebTl1Yf7sdy0zbYPudaNOpCz9mTtYq7bu3XmPtDfsy8eefioNi2pLFBcycPLH4VvTT9LBPP2ZJQQHbHHxEmWVatO/AhjvuUnySWV2aPPxn2ndfp0Sdi26L5pXfrWbq6JFMHTOKbQ46vDj0ZatT7/Vo0Kgx791/FxN+GsKMiePLtN5OGzeazutuUCK0dd2wT+X7M+IXGjdvTr2GDcvsz5xpFZ90WJ6lS8p/X6qqhk2asNle+zLm+29ZOHcO82fNZHb+FNp26Vru47009cV52tjRDHr5eZ699gq+f/dNNt1jn+L9a7d2d5q3bVfuNieN+IX2a3dn7vRpZdafzbB7RV8mVmT/10Q+WlphY045lWHb78DisWPLnV4wciRNt9mapttuQ8OePelw5pk0KRUYWx5wAC322Zvx55zLgoEDmXrjjXT66xUlTuqqCXHRIuYPGkS7U06m0QYb0LhvH7r841piQUGNbqfI9AcfYt7nn9PttltpdeghNOjalYa9etH+j/9HhzP/xNRbb2XhDyV/Zmx32qk023lnGvbqRafLL6de+3bMeOxxABZPmEBcupTmu+xMvbZtSwS6mlAwciStDtifRuuvR6MNN6TrDddDlh+aBePG0bBXLxquuy71Wrcu0fo844knaL7TTjTb8VfLPzmvtBgZeeCB/LzLrhTOK39Iu4KRI2mxx+403mQTGvbuTecrryzxZagis158kThvPl3+cS2N1l+fxptuSuerr05OAqxmy3JNO/icLei7Uxc6dG9Bi7aNWXuDNuxyzPosnLeY8T/NrNI6liwu5J0Hh7D2Bm3Z6+S+rNWzBc3bNKJbn7YcfPYWLF1SyAePl/35PJee+ftl3HbKsSVGakj7+fOP+fHDd9l7wJlsue+BtO7UhdYdO7PFPgfw69+fwffvvVViBIu0mZMnctspx/LM3y/Pqk5zZ0zjnfv/y6Z77sPuv/09HXqsQ4t2HVhvmx044tK/MXPiBD5+ovxfOWrT588/Sbuua7PvGX+mU+/1admhY/HIEZV153jtthtp0bY9x/39Rtbb9le07bo2rTt1Yb1tdqDrBn0oXM7JezMmTSAWFrLVAYfQskNH1u23HdsfdnSJeb5941WatGzJXqedTtuua9N9483Y8egTK13vmO+/ZfR3X3PgORez7tbb02qtjqy1Tm+22Gf/EidwVsWsKZPp1ndTmrVpW6JveHnq1a9P01atada6DW27dmPjXffiuL/9i3oNGvDW3bcVz/fR4w+xxW8OYNtDj6Jdtx606dyVdfttx56nJifpte7YmZ2O7U/XDfrQon0HOq+3IV037MO0cUmf+aEff8Ds/CkcfP5f6L7JZrTs0JHuG2/GBtvvBCT9qkNeHgeddyldN+xLyw5r0XWDPvzqqBPosv6GVd732flTKCxcSq8t+tGkZSsaNmma1WO3prKLhVZYXLiQWMnFE/Jvu50GnTuz9q23EpcsYfbLrzDjoYdpedCBADTo3p1Ol1/GlOuuY9HQpD/n9Pvup9n229P1Xzcw6rjjy+26UV0TL7mUTlddSc/HHmXJlKlMueEGGnbvXmPrL2HJEsaccirt+p9E2/6/pdPllyd9mX8cwvhzzy13iLgp//gnHc78E43WW4/FY8Yw7o9/ZMnk5OfOpdOmMeVfN9Lu1FPpeNFFzB80qEYuyFFk4sUX0+mvf6Xnk0+yZNo0pt99D3mNsztha+Yzz9Bs223p+dij1GvRggkXXcSs554HYOH337No2DBCkybM//LLrOtXUTAuMvmaa+l89VX0eOB+CufOY8ZTTzLn9Tdo0L1bpcvFhQsZ8/vf0/nyy+n59FMsmTCRKTf+i06XXUYsKH9M4Lo25ofprL9NJ7Y5oBcNm9RjwZzFTPh5Jm8/OCSrbg6jv5/GM9cNYqvf9GD/0zejYeP6zJ9VwMjB+Qx8eWTOLxRS2pKCRSxZznPw6i03sOmev2GT3X9dHLqmjRvDew/dw+C3Kx+ZoronLA1++3VmTZ7E1gcexpGXX0ODRo2YPXUqwz77iM+ff2qFLxRSHdPHj+Oxv5zHr446gcMuvpJ6DRswd/o0xn7/XYUtyABTRg7nwfPPYJuDD2fnY/vTvF174tKlzJg4np8++5ivX3uxwmUB8seM4p37/ss2Bx3OtoccyZQRv/DuA3dx2MVXFs8zd8Y0nv/nVex60qmc8I+bmTlpAu/c91+OvOzvla77+X9exfaHH8OuJ55M87btWDh3LlNGjahwXOaKvP/QPex60qmccvM91G/QoNJh3tbeaGMG3PkwhUuXUrBgAdMnjmPIx+/z9Wsvlngch3z4LosXLGDrgw5n24OPSH69mTKJn79ITvZcvGghbTp3Yb8zz6dJy1YsnDObEV8P5P2H7gGSY/uJKy5k5+N/x/5/Op8GjZswe+pkvngh+TV2/qyZPPqXP7PTMSdx4LkX07BJU+bPnMG4oT8wN4sx2efPmslHjz3I1gcdwa4nncr4IT86zFsVhOX1AdKaa8iGG3lw1KGicZB/3mXX4kC82qlXj3XfeZvp999fPA72yqp+ly6s987bjB0wgLnvvlfj699o6JAynctv/cM7q+Vr7o937F5mX284av/Vcl+lVd25T7xUvRNfVjO2IEuqfSFQr1072hx1JHlNm1bYXz2XWh5wAEumTGbxuHE06NKVtf58LgXjxzPvo49zXTVJUh0zIEuqdQ26dGbdt99m8ZQpTLz4klq/PHV11Gvdmg5nnE79jh1ZOmsWC776inFnnV12lApJ0mrPgCytJOZ/8SVDNtwo19WoFYvHT1jp923GQw8x46G6P7FKkrTycRQLSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkBWZVbTwXilnKvotbU6vubWpH2VVnW+LjO8UIgkSZKUYguyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUurnugIrg/bt28eePXvmuhqSJEmqQ4MGDcqPMXYoXW5ABnr27MnAgQNzXQ1JkiTVoRDC6PLK7WIhSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCklpwE5hHBRCOGpEMKIEEIMIYyqgXU+mVnX9zVQRUmSJK1hcn0lvb8D04GvgNYrurIQwv7AYcCCFV2XJEmS1ky57mLRO8bYLsa4FzBhRVYUQmgO3AbcCkypicpJkiRpzZPTgBxjHFGDq/sbSYv4pTW4TkmSJK1hct3FokaEELYBTgeOiTHODiHkukqSJElaReW6i8UKCyHUB+4C3ogxPpnFcqeFEAaGEAZOnTq19iooSZKkVcoqH5CB84D1gD9ms1CM8c4YY78YY78OHTrUTs0kSZK0ylmlA3IIYV3gMuBvNdyfWZIkSWuoVb0P8g0kw8Q9lwnLReoDDTNl82KME3NSO0mSJK1yVvWA3APoAvxQwfSfgZeB/eusRpIkSVqlrTIBOYTQGWgFjIkxzs8U/5nyLzByG7AQOAew9ViSJElVltOAHEI4gaQVGKADSbeIonGMR8cYH0rNfg1wErAb8B5AjPGtCtZ7PTA3xvh0bdRbkiRJq69ctyCfDOxSquyqzN/3gYeQJEmS6lBOA3KMcdcs5u0P9K/ivD2rVSFJkiSt8VbpYd4kSZKkmpbrLhaS6tjtt9/OiBHlDxs+fvx4ALp27Vru9F69ejFgwIBaq5tUVSvTcbwy1UVaXeT6dWVA1mqnshcVrP4fnsvb/wkTJrBgwYJypxWVL1y4sMJlK1q3H/Srt1x/WGWjouM3F1amumjlszK9rnJRl8q2mevPqhBjXO5Mq7t+/frFgQMH5roaykJ1X1Sw7IXVpEmTcqc3adKELl26lDutohfWir7Ia7Iuxx13HPn5+dX69rs087delsstAdq3b88jjzxSja1qZbEyHcfL+6JXmeHDhwPQu3fvrJetqD4DBgxg8uTJWa9veY9NZTp27Mjtt9+e9XJaedREg8Xq+lkF1f+8qsnPqhDCoBhjv9Lz2oKsVdJHH33EtKlTaVSNL3ghBACWzplT7vS5c+YwbMqUMuWLQmDChAnlvtA/+ugj8vOnUT80zKouRdVfNH9JudMXzZ/DzGk/lSlfEgsqrItUXdV9Xa1MrymApXExAD8OLvvaqUxlr6vZs2czb968rOtSpDrLzp49u9rb08ph5fysys+6LkUqOo7nzZtX4XpX1c8qA7K0mtlxxx1z1vImra6q+7ryNaWVScuWLStsJV60aBGFhYXlTisqz8srf2yHvLw8GjVqVOE2K1LZ66oqLdqNqtmiXRUGZK2SVrYQWP0XedLS1ahJ+S/F6rzIl/dNfUV+uraf8eptZQqBK9trvLLj3teUKrK847iyz4eCTHm9GgyBlXXZyUUf5Oq+rjxJT6pAbX1YQfVeWCvzizwbjRs3rrNtaeWzMoXA1eWLnq+pNduKHMd1/fmwsn1Ry3V9DMha49T1B1auX+SlrWz10apvZQuBa/prXKsOj52Vl6NY4CgWkiRJa6KKRrHwSnqSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCklpwE5hHBRCOGpEMKIEEIMIYzKcvk2IYQzQwhvhBDGhhAWhBB+CiHcGULoVkvVliRJ0mos1y3Ifwd2B4YDM6qx/LbADUAEbgFOB14BjgcGhxD61FA9JUmStIaon+Pt944xjgAIIXwPNM9y+aHABjHG4enCEMLLwJvAlcDhNVFRSZIkrRlyGpCLwvEKLD+qgvK3QgjTgY1XZP2SJEla8+S6i0WtCCG0AloAk3NdF0mSJK1aVsuADFwKNAAeqGiGEMJpIYSBIYSBU6dOrbuaSZIkaaW22gXkEMLhwLnA68B9Fc0XY7wzxtgvxtivQ4cOdVY/SZIkrdxWq4AcQtgXeAQYBBwZY4w5rpIkSZJWMatNQA4h7AM8C/wA/DrGODvHVZIkSdIqaLUIyCGEvYHnSIZ92zPGWJ0xlSVJkqRVJyCHEDqHEDYMITQtVf5r4HlgGLBHjHF6LuonSZKk1UNOx0EOIZwA9Mjc7QA0DCFcmrk/Osb4UGr2a4CTgN2A9zLL9wNeAALJCXm/CSGU2EaM8eHaqr8kSZJWP7m+kt7JwC6lyq7K/H0feIjKbQw0zvx/YwXzGJAlSZJUZcGBHqBfv35x4MCBua6GJEmS6lAIYVCMsV/p8lWmD7IkSZJUFwzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCklpwE5hHBRCOGpEMKIEEIMIYyq5nr2DSF8EkKYF0KYnlnnOjVcXUmSJK0Bct2C/Hdgd2A4MKM6KwghHAq8BDQBzgOuA3YGPg4hdKmhekqSJGkNUT/H2+8dYxwBEEL4HmiezcIhhAbAzcBYYKcY49xM+avAIOAK4LSarLAkSZJWbzltQS4KxytgF6ALcHdROM6s9xvgPeCoTIiWJEmSqiTXXSxW1NaZv5+WM+0zoCWwft1VR5IkSau6VT0gF/UxHl/OtKKyrnVUF0mSJK0GVvWA3DTzd1E50xaWmqeEEMJpIYSBIYSBU6dOrZXKSZIkadWzqgfk+Zm/jcqZ1rjUPCXEGO+MMfaLMfbr0KFDrVROkiRJq55VPSBPyPwtrxtFUVl53S8kSZKkcq3qAfnLzN/ty5m2HTAbGFZ31ZEkSdKqbpUJyCGEziGEDUMI6T7F7wMTgVNCCM1T824G7Ao8FWNcXLc1lSRJ0qospxcKCSGcAPTI3O0ANAwhXJq5PzrG+FBq9muAk4DdSMY4Jsa4OIRwJvAE8GEI4S6Sod3OBqYCl9f6TkiSJGm1kusr6Z1McrGPtKsyf98HHmI5YoxPhRAWAJcC15OMaPE2cEGM0f7HkiRJykpOA3KMcdcs5u0P9K9g2kvASzVSKUmSJK3RVpk+yJIkSVJdMCBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpVQpIIcQmocQloYQ/lLbFZIkSZJyqUoBOcY4F5gJTKnV2kiSJEk5lk0Xi3eBXWqrIpIkSdLKIJuAfB6wYwjhryGElrVVIUmSJCmX6mcx79tAY+BS4NIQwlRgfql5Yoyxd01VTpIkSapr2QTkMUCsrYpIkiRJK4MqB+QY4661WA9JkiRppeA4yJIkSVJKNl0sAAgh9AYOAnplikYAL8QYh9dkxSRJkqRcyCoghxCuAi4E6pWa9M8Qwt9jjJfVWM0kSZKkHKhyF4sQwu+AS4DPgUOA9TK3g4FPgUtCCL+thTpKkiRJdSabFuQ/koTjXWOMS1Llw0MIrwAfAqcD99Vg/SRJkqQ6lc1JehsBj5cKxwBkyh7PzCNJkiStsrIJyAVA80qmt8jMI0mSJK2ysgnIXwK/DyF0LD0hhLAWcBpJFwxJkiRplZVNH+SrSC43PSSEcA/wY6a8L/Bbkhbk42q2epIkSVLdyuZKeh+EEA4FbgHOLTV5DHBSjPHDmqycJEmSVNeyGgc5xvhiCOFlYCtgHSAAw4GvYoyFtVA/SZIkqU5VKSCHEJoD3wI3xxj/TdIf+ctarJckSZKUE1U6SS/GOBdoB8yt3epIkiRJuZXNKBafAf1qqyKSJEnSyiCbgHwhcGQI4bchhFBbFZIkSZJyKZuT9P4FzADuBv4ZQhgOzC81T4wx7lFTlZMkSZLqWjYBuRcQSYZ0AyhzwRBJkiRpVZfNOMg9a7EekiRJ0kqhSn2QQwjNQwjvhBBOru0KSZIkSbmUzTBvW9f0xkMIeSGEs0MIQ0MIC0MIY0MIN4QQmlVx+RBCODaE8EkIIT+EMCeE8EMI4bIQQsuarq8kSZJWf9mMYvENsFENb/9GkpP/fgTOAJ4C/gS8GEKoSt2uBh4BFgB/Bc4DBmf+f8PRNiRJkpStbE7Suxx4LoTwcozx3RXdcAihL0kofjbGeFiqfCRwE3A08Ggly9cHzgK+AvZKXer6jhDCEuA4YDOSYC9JkiRVSTYB+XiSESzeCiF8Cwyj/GHeqtpP+RggAP8uVX4XcG1mexUGZKAB0ASYlArHRSZk/s6rYl0kSZIkILuA3D/1/+aZW2kRqGpA3hooBL4osYIYF4YQvmE5fZ5jjAtCCB8A+4QQLgCeAZYAuwL/BzwcY/y5inWRJEmSgCz6IMcY86pwq5fFtrsA+THGReVMGw+0DyE0XM46jgPeJWlx/hkYCdxL0rf5xMoWDCGcFkIYGEIYOHXq1CyqLUmSpNVZNi3INa0pUF44BliYmqegknUsAkaQBOrXSFqwDwMuzazjbxUtGGO8E7gToF+/fjGbikuSJGn1VWkLcgihSwihcVVWFELoGELYPYttzwcaVTCtcWqeirbXFPgEaBljPCnG+FiM8fEY4xHAE8CVIYQNsqiPJEmStNwuFmOBQ4vuhBBahRC+CyFsU868ewJvZrHtCSTdKMoLyV1Jul9U1np8OLAeydBwpT1Fsm87ZlEfSZIkabkBufQ4wvWBjYHmNbDtLzPbLxG2My3WmwMDl7N818zf8vo91y/1V5IkSaqSbC4UUtOeIOkzfFap8lNJ+h4/UlQQQugcQtgw062iyI+ZvyeVs+6isi9rpqqSJElaU+SshTXGODiEcCtwegjhWeAVkiv1/Ql4n5JjIF9DEnp3A97LlL1EMkTcvpnh3p4hafE+FNgJeCrG+FUd7IokSZJWI7nugnAWMAo4DdgPyAduBi4r5+IfJcQYl4YQ9gQuIgnF/yRpkf4ZuIDkEtaSJElSVnIakGOMS4EbMrfK5utPyQuVFJXPAS7O3CRJkqQVVpWAfGIIYbvM/41JWmlPDyEcXGq+9WuyYpIkSVIuVCUg/zpzSzu4gnm94IYkSZJWacsLyOvUSS0kSZKklUSlATnGOLquKiJJkiStDHI5DrIkSZK00jEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIqHAc5hPBONdYXY4x7rEB9JEmSpJyq7EIhvSh76ehmQPvM/zOBALTK3M8H5tZk5SRJkqS6VmEXixhjzxjjOkU3YA9gAfAfoEuMsW2MsQ3QBbgJmJ+ZR5IkSVplZdMH+Ubgkxjj2THGSUWFMcZJMcazgM8y80iSJEmrrGwC8q7A+5VMfw/YbUUqI0mSJOVaNgE5AhtVMr0vZfssS5IkSauUbALyG8CAEMKJIYRQVBgSJwG/z8wjSZIkrbIqG8WitHOArYH7gGtDCD+TtBivD3QExmbmkSRJklZZVW5BjjGOAzYH/gHMALYBts38/w9g88w8kiRJ0iormxZkYoyzgIszN0mSJGm146WmJUmSpJSsAnIIoVsI4d4QwrgQQkEIYfdMeYdM+da1U01JkiSpblQ5IIcQ1gEGAocBPwD1iqbFGKcC/YBTarqCkiRJUl3Kpg/y34BCYGOSS05PKTX9FeCAGqqXJEmSlBPZdLHYE7gtxjiW8i8IMhpYu0ZqJUmSJOVINgG5JTCxkukNyXJUDEmSJGllk01AHktyOemKbAf8smLVkSRJknIrm4D8LPC7EMLGqbIIEEI4DDgCeLIG6yZJkiTVuWwC8t+AccDnwMMk4fjCEMKnJMH4W+CGGq+hJEmSVIeyudT0bGB74G6SId0CsBewAXAbsFuMcWFtVFKSJEmqK9leano2cCZwZgihA0lInhpjLG9UC0mSJGmVk82FQrqHENoU3Y8xTo0xTikKxyGEJiGE7rVRSUmSJKmuZNMHeRQwOoRwUAXTDwVGrnCNJEmSpBzKJiBDciW9Z0II59ZGZSRJkqRcyzYgnwM8DfwzhPDfEEK9WqiTJEmSlDPZXvluYYzx6BDCL8DFwDohhCNijLNqoW6SJElSncu2BRmAGOOlwG+BnYFPQgi9arRWkiRJUo5UKyADxBgfAPYGOgGfATvUVKUkSZKkXKl2QAaIMb5PcvGQWcCAGqmRJEmSlEPZ9EH+K/Bd6cIY47AQwrbA7cBaNVUxSZIkKReqHJBjjH+tZNp04KgaqZEkSZKUQyvUxUKSJEla3VTYghxCeAeIwN4xxiWZ+8sTY4x71FjtJEmSpDpWWReLXiRXzgup+7HWayRJkiTlUIUBOcbYs7L7kiRJ0urIPsiSJElSigFZkiRJSqnsJL17q7G+GGM8eQXqI0mSJOVUZSfp9a/G+iJgQJYkSdIqq7KT9Ox+IUmSpDWOIViSJElKMSBLkiRJKZX1QS4jhFAfOBjYFmhD2YDtSXqSJElapVU5IIcQ2gLvAhuTXF0vsuwqezFVZkCWJEnSKiubLhZXAxsCpwC9SQLx3sBGwGPAl0C7mq6gJEmSVJeyCcj7AQ/GGO8DZmfKlsYYf4oxHg8sAK6p6QpKkiRJdSmbgNyJpJUYYEnmb+PU9OeBA2ugTpIkSVLOZBOQpwPNMv/PARYD3VLTF5OcuCdJkiStsrIJyMOAPgAxxkLga6B/CKFRCKEpcCIwouarKEmSJNWdbALyG8DhIYRGmfv/IhnubTowBegH3Fiz1ZMkSZLqVjbjIP8duD7GuAggxvhkCGEJcDywFHg6xvhELdRRkiRJqjNVbkGOiUWlyp6NMR4aYzyiOuE4hJAXQjg7hDA0hLAwhDA2hHBDCKHZ8pcuXkf9EMKfQghfhRDmhRBmZf7/fbb1kSRJkrK6kl4tuBH4E/AccAPJmMp/ArYIIeyZ6etcoRBCQ+B/wG7AI8AdJPu0HtCjFustSZKk1VS2l5puBhxLEkDbsexKekWqfKnpEEJf4Azg2RjjYanykcBNwNHAo8tZzV+APYG9YozvVmknJEmSpEpkc6npHUhaa9tWMls2l5o+hiRg/7tU+V3AtSR9mysMyJmwfibwQozx3RBCAJrHGOdUcfuSJElSGdmMYnEzUAgcBLSNMeaVc6uXxfq2zqzvi3RhjHEh8E1memV2AloAg0II/yG5ut/sEMLUEMLfQwi57j4iSZKkVVA2IbIPcFmM8cUa2nYXIL/0iX8Z44EdQggNY4wFFSy/QebvWUABcD4wDTgOuAjoCpxU0cZDCKcBpwF07969OvWXJEnSaiibFuSJJFfLqylNgfLCMcDC1DwVaZH52xbYM8Z4e4zxyRjjQcB7wIkhhD4VLRxjvDPG2C/G2K9Dhw5ZVl2SJEmrq2wC8t3AsSGEbLpRVGY+0KiCaY1T81RkQebvZzHGoaWmPZj5u0s16yZJkqQ1VDZdLK4h6RbxaQjhdmAUyQVCSogxflDF9U0A+oQQGpXTzaIrSfeLirpXAIzL/J1UzrSJmb9tqlgXSZIkCcguIDchGdptK5LW5NICySgWVW1h/hL4NbAN8GHxSkJoDGwOLC9oF53ct3Y504rKplSxLpIkSRKQXUC+FTgSeJ4k0M5YwW0/AVxMcpLdh6nyU0n6Hj9SVBBC6Ay0AsbEGOcDxBhHhhA+JjmZb8sY41eZeetl1rEEeGMF6yhJkqQ1TDYB+SDg3hjjqTWx4Rjj4BDCrcDpIYRngVdYdiW99yk5BvI1JCNS7EZyAl6RM0jC9VshhJtIRrE4iqRV+soY45iaqKskSZLWHNkE5EDSLaImnUXSl/k0YD8gn2S85cuWd5lpgBjj15kLmFydWVdjYAjw2xjj/TVcV0mSJK0BQoyxajOG8BwwI8b4u9qtUt3r169fHDhwYK6rIUmSpDoUQhgUY+xXujybYd7OAnYJIZwTQmhYYzWTJEmSViLZdLF4F2gGXAdcG0KYSNlh3mKMsXdNVU6SJEmqa9kE5DEkw7hJkiRJq60qB+QY4661WA9JkiRppVClPsghhOYhhOEhhDNru0KSJElSLlUpIMcY55JcRW9e7VZHkiRJyq1sRrH4DCgzDIYkSZK0OskmIF8IHBlC+G0IIdRWhSRJkqRcymYUi38BM4C7gX+GEIYD80vNE2OMe9RU5SRJkqS6lk1A7kUyzNuYzP2ONV8dSZIkKbeyGeatZy3WQ5IkSVopZNMHWZIkSVrtZdPFAoAQQktgT5IuFwAjgDdjjHNqsmKSJElSLmQVkEMIpwA3AM2BopEsIjA3hHBOjPGeGq6fJEmSVKeqHJBDCAcCd5K0GF8GfJ+Z1Bc4A7gzhDAlxvhijddSkiRJqiPZtCCfDwwBts1cWa/I2yGE+0guJHIBYECWJEnSKiubk/Q2A+4vFY4ByPQ/fiAzjyRJkrTKynYUi8quoBdXpCKSJEnSyiCbgPwtcFIIoVnpCSGE5kD/zDySJEnSKiubPsjXA88CX4UQbgJ+zJQXnaS3LnBozVZPkiRJqlvZXEnv+RDC6cA/gJtZ1qUiAPOA02OML9R8FSVJkqS6k9U4yDHG20IIjwJ7AeuQhOPhJBcKmVUL9ZMkSZLqVNZX0osxzgSeqvmqSJIkSbmX7SgWkiRJ0mqt0hbkEML/slxfjDEetAL1kSRJknJqeV0s9s9yfY6FLEmSpFVapV0sYox5y7sBuwNfZhaZWOs1liRJkmpRtfsghxA2DiG8DLwNbAD8BVivpiomSZIk5ULWo1iEELoBVwHHAUuBm4CrY4zTarhukiRJUp2rckAOIbQBLgH+D2gEPAZcGmMcVTtVkyRJkurecgNyCKERcBZwAdAaeBO4IMb4TW1WTJIkScqFSvsghxB+B/wC/J3kinl7xhj3NhxLkiRpdbW8FuS7SYZuGwg8CWweQti8kvljjPHGGqqbJEmSVOeq0gc5AFtnbssTAQOyJEmSVlnLC8i71UktJEmSpJVEpQE5xvh+XVVEkiRJWhlU+0IhkiRJ0urIgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCklpwE5hJAXQjg7hDA0hLAwhDA2hHBDCKFZNdf3ZAghhhC+r+m6SpIkac2Q6xbkG4F/AT8CZwBPAX8CXgwhZFW3EML+wGHAgpqupCRJktYc9XO14RBCX5JQ/GyM8bBU+UjgJuBo4NEqrqs5cBtwK3BgzddWkiRJa4pctiAfAwTg36XK7wLmA8dnsa6/kYT9S2ukZpIkSVpj5awFGdgaKAS+SBfGGBeGEL7JTF+uEMI2wOnAMTHG2SGEmq6nJEmS1iC5bEHuAuTHGBeVM2080D6E0LCyFYQQ6pO0OL8RY3yyFuooSZKkNUwuW5CbAuWFY4CFqXkKKlnHecB6wCHZbjyEcBpwGkD37t2zXVySJEmrqVy2IM8HGlUwrXFqnnKFENYFLgP+FmMcke3GY4x3xhj7xRj7dejQIdvFJUmStJrKZQvyBKBPCKFROd0supJ0v6is9fgGYDrwXCYsF6kPNMyUzYsxTqzRWkuSJGm1lssW5C8z298mXRhCaAxsDgxczvI9SPox/wD8nLp1Jel28TNJ/2RJkiSpynLZgvwEcDFwFvBhqvxUkr7HjxQVhBA6A62AMTHGom4XfwZal7Pe20j6MJ8D2HosSZKkrOQsIMcYB4cQbgVODyE8C7wCbERyJb33KXmRkGuAk4DdgPcyy79V3npDCNcDc2OMT9de7SVJkrS6ymULMiStx6NIRpPYD8gHbgYuizEW5q5akiRJWlOFGGOu65Bz/fr1iwMHLq/LsyRJklYnIYRBMcZ+pctzeZKeJEmStNIxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlJLTgBxCyAshnB1CGBpCWBhCGBtCuCGE0KwKy7YJIZwZQngjs9yCEMJPIYQ7Qwjd6qL+kiRJWv3kugX5RuBfwI/AGcBTwJ+AF0MIy6vbtsANQARuAU4HXgGOBwaHEPrUVqUlSZK0+qqfqw2HEPqShOJnY4yHpcpHAjcBRwOPVrKKocAGMcbhpdb7MvAmcCVweE3XW5IkSau3XLYgHwME4N+lyu8C5pO0BFcoxjiqdDjOlL8FTAc2rplqSpIkaU2Sy4C8NVAIfJEujDEuBL7JTM9aCKEV0AKYvIL1kyRJ0hoolwG5C5AfY1xUzrTxQPsQQsNqrPdSoAHwQGUzhRBOCyEMDCEMnDp1ajU2I0mSpNVRzvogA02B8sIxwMLUPAVVXWEI4XDgXOB14L7K5o0x3gncCdCvX79Y1W1IkqSquf322xkxYkS508aPHw9A165dK1y+V69eDBgwYKWoT03XRSu3XAbk+cBaFUxrnJqnSkII+wKPAIOAI2OMhl5JklZSCxcuXP5MdWhlq49yK+QqR4YQXgf2BJqW7mYRQvgYWD/G2KGK69oHeJ5kuLg9YowzsqlLv3794sCBA7NZRJIkrYDzzjsPgOuuuy7HNUmsbPVR3QghDIox9itdnss+yF9mtr9NujCE0BjYHKhSYg0h7A08RzLs257ZhmNJkiQpLZcB+QmSi3ycVar8VJK+x48UFYQQOocQNgwhNE3PGEL4NUnL8TCSluPptVlhSZIkrf5y1gc5xjg4hHArcHoI4VmSq+BtRHIlvfcpeZGQa4CTgN2A9wBCCP2AF0jGUr4P+E0IofQ2Hq7dvZAkSdLqJpcn6UHSejwKOA3YD8gHbgYuizEWLmfZjVl2Mt+NFcxjQJYkSVJWchqQY4xLgRsyt8rm6w/0L1V2P3B/7dRMkiRJa6qcjWKxMnEUC0mSqqeysYUrM3z4cAB69+5dre1WNC5xLurjGMmrropGsch1FwtJkrQKGzFiBMN/+Irezap86QIAmixulPwzamLW2xw+r2mF00aMGME3Q75hcZvFWa2zXmE9AL6c9GVWyzWY0SCr+bVqMCBLkqQV0rvZfK7r+2Odbe+8H/pUOn1xm8VM23NandSl3Vvt6mQ7qlu5HOZNkiRJWukYkCVJkqQUu1hIkqRqmzBhAgvmNV1ut4eaNHxeU5pMmFBhfRrMalBnXR8azGjAhMLy66JVly3IkiRJUootyJIkqdq6dOkCBSPq/iS9Ll0qrM/4vPF1epJel07l10WrLluQJUmSpBQDsiRJkpRiFwtJkrRChlfjJL0JC5MLhXRpvKha26vsencNZmR/kl69OcmFQpa2WJrVcg1mNIBOWS2iVYABWZIkVVuvXr2qtdyCzKWd6Zn9pZ17V7Ld6tZn+LzMpaY7ZVmfTtXfplZeBmRJklRtAwYMqHDa7bffzogRI6q97l69elW6/rqsT3XqolWXAVmSJNW5xo0b57oKJaxs9VFuhRhjruuQc/369YsDBw7MdTUkSZJUh0IIg2KM/UqXO4qFJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUgzIkiRJUooBWZIkSUoxIEuSJEkpBmRJkiQpxYAsSZIkpRiQJUmSpBQDsiRJkpRiQJYkSZJSDMiSJElSigFZkiRJSjEgS5IkSSkGZEmSJCnFgCxJkiSlGJAlSZKkFAOyJEmSlGJAliRJklIMyJIkSVKKAVmSJElKMSBLkiRJKQZkSZIkKcWALEmSJKUYkCVJkqQUA7IkSZKUYkCWJEmSUurnugKStLK4/fbbGTFiRLnTxo8fD0DXrl3Lnd6rVy8GDBiwUtSlNuojSWsSA7KkNUplwXPChAksWLCg3GlF5QsXLqxw2YrWW1FYra26VLc+kqSEAVnSGuWjjz5iev5UmtRbmtVyeTHTI23hrHKnL1g4i+EzJpUtX1qPCRMmlBtIP/roI6ZOm0qsH7OqSyAAMKdgToXzzCmYw5RZU8ouuyRUWB9JUsI+yJIkSVKKLciS1ig77rhjhV0PKjN8+HAAevfunfWyvXr1WmnqUll9JEmJEGN2P+2tjvr16xcHDhwIVL9P4PI0adKELl26lDvN/oBaneXiNQU1/7o677zzALjuuutqbJ3VtTLVRbnhZ5VUM0IIg2KM/cqUG5BLBuTjjjuO/Pz8Ot1++/bteeSRR+p0m1JdycVrCqr3uqosdCyv1bYuR7GoSguyYWb15meVVDMqCsh2sSilZcuWFX7zXrRoEYWFhdVab15eHo0aNapwm9LqKhevqaLt1qTGjRvX6PpWxMpUF+VGdV9XReV5eeWfguRnlZSwBZmSLciSJK3KVqbxvKWVnS3IkiStAQy40opzmDdJkiQpxYAsSZIkpRiQJUmSpJScBuQQQl4I4ewQwtAQwsIQwtgQwg0hhGZZrGPfEMInIYR5IYTpIYSnQgjr1Ga9JUmStPrKdQvyjcC/gB+BM4CngD8BL4YQllu3EMKhwEtAE+A84DpgZ+DjEELFVxCQJEmSKpCzUSxCCH1JQvGzMcbDUuUjgZuAo4FHK1m+AXAzMBbYKcY4N1P+KjAIuAI4rbbqL0mSpNVTLod5OwYIwL9Lld8FXAscTyUBGdgF6AJcVhSOAWKM34QQ3gOOCiH8Mca4uCYrXZduv/123nzzzXKnzZ8/n+qOYR1CoGnTphVO32uvvcodJigX9amoLpIkSbUll10stgYKgS/ShTHGhcA3menLWx7g03KmfQa0BNZfsSpKkiRpTZOzK+mFEAYDa8UYO5Yz7UngCKBRjLGgguVvBk4H+sQYh5Sa9n/ArcDeMcY3Klj+NDJdMLp3777V6NGjV2R3JEmStIqp6Ep6uWxBbgosqmDawtQ8lS1PBetY7vIxxjtjjP1ijP06dOhQaUUlSZK05shlQJ4PNKpgWuPUPJUtTwXrqMrykiRJUhm5DMgTgPYhhPICblcgv6LuFanli+Ytb3mA8StQP0mSJK2BchmQv8xsf5t0YQihMbA5MLAKywNsX8607YDZ/9/evUdNVZVxHP8+iFy8pOCrRmiKaHlJ00Sr1RLxnrlclJdqKRoGlhfAS2miJph4Wd5SSVdpKkZYiNBKy8ILiYJLBHEtQQhNeE3ACyReAkWEpz/2ntjvYWbemZfxnWHm91nrrHlnn33O2WfmPOfdZ8/Z+wAvb1wRRURERKTRVLOCPB5w4PxM+pmEe4fH5RLMrIeZ7Wlm6T3FU4E3gMFmtlWS98tAP2DCpjzEm4iIiIhUR9UqyO4+hzDSxAlmNsnMBpvZTYQn602l5RjI1wLzSVqbY+X3PGBn4GkzO8fMLgEeBZYBI9pnT0RERESknlTzQSEQWo+bCcOtHQcsJzwd7wp3X9fawu4+wcw+BC4HbiSMaPEE8DN31/3HIiIiIlK2qo2DXEv69Onjs2a1dsuziIiIiNSTWhwHWURERESk5qiCLCIiIiKSUAVZRERERCShCrKIiIiISEIVZBERERGRhCrIIiIiIiIJVZBFRERERBKqIIuIiIiIJFRBFhERERFJqIIsIiIiIpJQBVlEREREJKEKsoiIiIhIQhVkEREREZGEKsgiIiIiIglVkEVEREREEqogi4iIiIgkzN2rXYaqM7NlwGvVLoe0qyZgebULIVJHFFMilae4+vTt4u7bZxNVQZaGZGaz3L1PtcshUi8UUyKVp7iqHt1iISIiIiKSUAVZRERERCShCrI0qjurXQCROqOYEqk8xVWV6B5kEREREZGEWpBFRERERBKqIIuIiIiIJFRBlqozs4Fm5mbWr9plEakHiimRylNcNRZVkOuQmXUzs49iIA8okGd/MxtpZruWM09qi5ltY2ajzWxJ/M5fMrOzzczKWMdwM5tgZgvjMdP8KRZ5k6SYagxm1sPMrjazv5vZsvh9j2nDejqY2QVm9s943LxuZjeZ2ZafQrE3WYqrxmBmx5nZQ2bWbGarzGyFmc02s/PNrEsZ62nXuFIFuT6dCnQCFgGDCuTZHxgB7FrmPKkRZtYJeAw4CxgPDAUWAHcQvr9SXQMcDrwKrKhwMeuFYqoxfBG4FNgbmLkR6/klcDMwjxCXE4BhwMNmpv+76ymuGsO+wFrgbkIcXAH8ixAnD5fRoNOucdWx0iuUmjAI+AfwZ+AWM+vt7q9WuUxSJjPb2t0/KJJlMHAQMMzdR8e0u8xsInCpmd3r7qU8Qr23uy+M25wLbLVRBa9Piqk6UEJMPQ/s4O7LzKwJWNaGbexD+Oc9yd1PTNIXAbcB3wfuL3e9dUpxVQdaiyt3vy5P8mgzux04h/B/7LlWttH+ceXumupoAr4COHA6sB2wGhiVyTMy5slOY4rNi8tuDYwCZhCeD7+acCV4HbBFnvIYcGbM/984zQF+keQZGLfRL7PsZTF9NNChyD73i/kGEgLoZeCj+Dq0wDJ9Ca2v7wEfArOBQQU+p15JWo+YthbonqTvFdMvzqzjSOBR4N1YpheBs/KUpxl4EjgAmBzLtaiV73oasBLokkk/JF9ZSjx+5gLN1T6Oa2lSTDVOTGWWb0q/pzKWGxWXOyST3iXG6yPVPqZrYVJcNWZcZdZ1cSzLMbUYV1UPEk0V/kLh9hjYW8b3k4DX06AF9gN+Ew+2q4EBcfp6sXlx2T2BN+N2zgPOBR4A1gGT85Tn93FdzwLDgbOBW4F5SZ4WJx3CrT93xLRLStjn3EnneWAJ4eebCwhXpA6MyOQ/HvgEWJzknZHb5yRf35g2KEkbEE84DpyYpJ8b0/okaT+Kn8szwEWEK+U/xXw3ZMrUDCwk3OJwZ1z2wiL73AFYBUzLM69zLOOENhw/qiArphoypvJ8Bm2tIE+O+9M5z7zpwLJqH9O1MCmuGi+uCBctTcBuwGnAfwgXL9vWYlxVPUg0VfDLDFdS76QndKB/PMiPzeRtEehlzOsEbJ4n/aq4zMFJ2ndj2lgyV9W0PAn+f3tA1xiYHwOnl7jfuZPOB8BOmbI+B6zJpQObAa8RrpI/l8k7PQbgHknaSmBcku8ewsltHnBHkj4xnjA6xPc9CFfh9+cp761xO72TtOa4D4NL3OftYv7xBea/DTzThmNIFeSWn4diqkFiKs8621pBngO8VWDeA3Gdnap9bFdzUlw1ZlwBD9Kytf9Z4MASl233uFJngfpyAtANuC9J+yuhsvTDSmzA3T929zUAZtYx9kJuAh6PWb6aZD81vv7U3ddl1tPifdSd8FPSkcDx7v67Mos3zt0Xp2Ul3NTfkXAlDnAg8HngHndfmsl7A6FFoH+SNh04LNnGYcATcToCIHYwOBSYmuzXSYSW3LvNrCmdgIfjdo7IlP8d4N4S93WL+Lq6wPyPkjzSdoqpxompStmC4nGZy9PIFFeNGVdXAkcBpwB3xbTtSly23eNKnfTqyyBCp5LFZrZ7kv4YcLKZNbn78o3diJmdQxg5YR82HAmlW/L3HsAb7v5WiaseQ+gg1tfdp7WhaPPzpM2Lr7vF117x9aU8eedm8gJMAY4ys70IwblrTOsKDDGznsD2hCCfkiy3V3x9nMJ2zLx/1d3XFsmfWhVfOxeY3yXJI22nmNpQvcZUpawCdigwr0uSp5EprjZU93Hl7nMILcEAfzCzHwN/M7O+7j69lcXbPa5UQa4TZtaLcMVohBv+8xkA3LKR27kQuIlwM/9twFLCT0w9CSeN9CRkhJ89SjUeOAO4wsz6u/uHZRYv37ayw8eUPD5wlDuRHE446awBnib8pLWOcGXdlMmbbud04I0C616YeV9OcK8gdNjomZ1hZp0JJ8GpZaxPMhRTUGBb9RpTlbIU2NvMOrt7tsWrJ7A8tvg1JMUVFNhWI8bVWMI93GcRWsCLafe4UgW5fpzB+l647+aZP4pw1X5LfF/sZFBs3mmEe5COTX96MrNv5sm7AOhvZjuWeGU+jvBz0FjgL2Z2vLuXE4h750nLXR3nAjw3hNA+RZZPTwbPE3rpHkE46cxw95XASjN7IaZ3J/w0mF7pvxJfl7t7sSvzNnH3dWY2GzggzwnjYMLJf1alt9tgFFMNFFMVNBM4mhCHT+cS4wMR9geeqk6xaobiSnGV05nwv6p7CXnbP64qeUOzpupM8QD7N/BikTwjCCeTg+L7E+P7E/LkLTZvFiEoN0vSOhKGfXFgZJJ+cky7jw07Pljy90Ba9gw+iXClPxXYqoT970fxjg+fADvHtFzHhxXAZ5O8mxOCbh2x40My7yFCb9s3gSuT9OsJvYvfA/6YWWYnwn1RzwFd85R5G5LeuMShc8r83nO9kYdm0icSWg96ZdJ7A3u2sk510nPFVKPGVGZ9rXbSyxdThIcirAMmZtKHxvUNqPbxXa1JcdWYcZWWv8B3/fNMek3ElVqQ68PRwM6Ep9QUMpEwVuIgwpXYTMLBdpmZdSP0gF3k7jNamfcgcC3hvqFJwGcIN9yvyW7Q3SeY2XjCTzd7mNlDhGD/AnAM8KV8BXX3B81sDaFn6mQzO9bd3y/hc3gZmGFmvyacgE4hDEB+lbu/Hte91syGEHofzzSzO2Pe7wFfA65x91cy653C+o4TUzLpF+VJx90Xm9nZwG+B+WY2lnCy254Q6N8mtAI0l7BfhdxFaI25OT5qdT7wLeA7hPFEF2XyPwHsQuanOzM7LaYTy9fJzC6P719z97EbUcZNlWIqaLSYIjn2cx1+9kvSnnL3tKVqg5hy9znxAQhD4vf5CKF1cBihItXIDwlRXAWNFldzzWwaYQznJYSLz6MIrdpz2PB2mtqIq0rXuDW1/0R43KID+7aSbwHhJ62u8f0PCB0DPibTUlJoHuGqdjhhwPXVhEC6nvWDj4/MbLMDoaVzNuG+pQ8IA5CPSPIMJM9QPcBxhCvbZykyTiItB18fRvjJaHV8Pa/AMocSOoS8H7fxAgWGrSGcJDyWv1OSvmXy+exeYNlvEE5wb8e8SwlPjvoJyQM+aGNrF7At8Ku43tXxOxtC0uqR2YbnSX+SlkPvpFPZZaqHSTHV0DFVKBbyfReFYmqzWJ4F8XNbQnhEbqutjPU8Ka4aM64IYzhPA94iXKC8T7i4GU4cBzuTvybiyuJGRTZZZtaPEMhnuPuYqhZGpA4opkQqT3G1adE4yCIiIiIiCVWQRUREREQSqiCLiIiIiCR0D7KIiIiISEItyCIiIiIiCVWQRUREREQSqiCLiIiIiCRUQRYRERERSaiCLCIiIiKS+B+1UtQ5GESykwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Third Experiment\n",
    "# Loss versus Attack Power\n",
    "ap_set = [0.1, 1.0, 3.0]\n",
    "fig, ax = plt.subplots()\n",
    "fig.set_figwidth(10)\n",
    "fig.set_figheight(10)\n",
    "Algs = [\"RF\", \"OLS\", \"Ridge\", \"MOM\", \"SPO+\", \"MOM-OGD\"]\n",
    "Loss = []\n",
    "columns = []\n",
    "for i in range(len(ap_set)):\n",
    "    globals()[f\"Data_power_{ap_set[i]}\"] = np.loadtxt(os.path.join('Attack_Power', f\"Norm_Err_power_{ap_set[i]}\"))\n",
    "    if i == 0:\n",
    "        Loss = globals()[f\"Data_power_{ap_set[i]}\"]\n",
    "    else:\n",
    "        Loss = np.concatenate((Loss, globals()[f\"Data_power_{ap_set[i]}\"]), axis=1)\n",
    "    columns = columns + [\"RF\"+f\"{ap_set[i]}\", \"OLS\"+f\"{ap_set[i]}\", \"Ridge\"+f\"{ap_set[i]}\", \"MOM\"+f\"{ap_set[i]}\", \"SPO+\"+f\"{ap_set[i]}\", \"MOM-OGD\"+f\"{ap_set[i]}\"]\n",
    "Loss_Data = pd.DataFrame(Loss, columns = columns)\n",
    "ax = sns.boxplot(data=Loss_Data, showfliers = False)\n",
    "# positions = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         positions.append((len(Algs)+1)*i+j+1)\n",
    "# colors = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         colors.append(sns.color_palette()[j])\n",
    "# bp1 = ax.boxplot(x=Loss, showfliers = False, positions = positions, patch_artist=True)\n",
    "\n",
    "xticks = []\n",
    "xticklabels = []\n",
    "for i in range(len(ap_set)):\n",
    "    xticks.append(int(len(Algs)/2) + i * len(Algs))\n",
    "    xticklabels.append(f'Attack power {ap_set[i]}')\n",
    "plt.setp(ax, xticks=xticks, xticklabels=xticklabels)\n",
    "boxes = ax.artists\n",
    "\n",
    "for i,box in enumerate(boxes):\n",
    "    for j in range(len(Algs)):\n",
    "        if Algs[j] in Loss_Data.columns[i]:\n",
    "            box.set_facecolor(sns.color_palette()[j])\n",
    "# for i,box in enumerate(boxes):\n",
    "#     box.set_facecolor(sns.color_palette()[i%len(Algs)])\n",
    "\n",
    "\n",
    "ax.set_title(\"Normalized Error Averaged on Test Set, 30 Trials\", fontsize = 22, y=1.15)\n",
    "ax.set_ylabel('Normalized Error', fontsize=18)\n",
    "ax.tick_params(axis='x', labelsize=18)\n",
    "ax.tick_params(axis='y', labelsize=18)\n",
    "x = 0.15\n",
    "y = 0.87\n",
    "fig.text(0.05+x, y+0.05, 'Random Forest',\n",
    "         backgroundcolor=sns.color_palette()[0], color='white', weight='roman',\n",
    "         size='x-large')\n",
    "fig.text(0.223+x, y+0.05, 'Ordinary Least Squares',\n",
    "         backgroundcolor=sns.color_palette()[1],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.48+x, y+0.05, 'Ridge Regression',\n",
    "         backgroundcolor=sns.color_palette()[2],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.05+x, y, 'Maximum Optimality Margin',\n",
    "         backgroundcolor=sns.color_palette()[3],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.358+x, y, 'SPO+',\n",
    "         backgroundcolor=sns.color_palette()[4],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.439+x, y, 'MOM-Online Gradient Descent',\n",
    "         backgroundcolor=sns.color_palette()[5],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment3-3.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment3-3.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "dd7786b5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fourth Experiment\n",
    "# Loss versus Degree\n",
    "degree_set = [1, 2, 4, 6]\n",
    "fig, axs = plt.subplots(1, 4)\n",
    "fig.set_figwidth(16)\n",
    "fig.set_figheight(6)\n",
    "for i in range(len(degree_set)):\n",
    "    globals()[f\"Data_deg_{degree_set[i]}\"] = np.loadtxt(os.path.join('Degree', f\"Loss_degree_{degree_set[i]}_Ker\"))\n",
    "    columns = [\"Linear\", \"PolyKer\", \"RbfKer\"]\n",
    "    globals()[f\"Data_deg_{degree_set[i]}\"] = pd.DataFrame(globals()[f\"Data_deg_{degree_set[i]}\"], columns = columns)\n",
    "    sns.boxplot(data = globals()[f\"Data_deg_{degree_set[i]}\"], showfliers = False, ax=axs[i])\n",
    "    axs[i].set_title(f\"Degree {degree_set[i]}\", fontsize=22)\n",
    "    if i == 0:\n",
    "        axs[i].set_ylabel('Relative Loss', fontsize=22)\n",
    "    axs[i].tick_params(axis='x', rotation=45, labelsize=18)\n",
    "    axs[i].tick_params(axis='y', labelsize=18)\n",
    "# for i in range(len(degree_set)):\n",
    "#     globals()[f\"Data_deg_{degree_set[i]}\"] = np.loadtxt(os.path.join('Degree', f\"Loss_degree_{degree_set[i]}_Ker\"))\n",
    "#     if i == 0:\n",
    "#         Loss = globals()[f\"Data_deg_{degree_set[i]}\"]\n",
    "#     else:\n",
    "#         Loss = np.concatenate((Loss, globals()[f\"Data_deg_{degree_set[i]}\"]), axis=1)\n",
    "#     columns = columns + [\"Linear\"+f\"{degree_set[i]}\", \"PolyKer\"+f\"{degree_set[i]}\", \"Rbf\"+f\"{degree_set[i]}\"]\n",
    "# Loss_Data = pd.DataFrame(Loss, columns = columns)\n",
    "# ax = sns.boxplot(data=Loss_Data, showfliers = False)\n",
    "# positions = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         positions.append((len(Algs)+1)*i+j+1)\n",
    "# colors = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         colors.append(sns.color_palette()[j])\n",
    "# bp1 = ax.boxplot(x=Loss, showfliers = False, positions = positions, patch_artist=True)\n",
    "\n",
    "# xticks = []\n",
    "# xticklabels = []\n",
    "# for i in range(len(degree_set)):\n",
    "#     xticks.append(int(len(Algs)/2) + i * len(Algs))\n",
    "#     xticklabels.append(f'Degree {degree_set[i]}')\n",
    "# plt.setp(ax, xticks=xticks, xticklabels=xticklabels)\n",
    "# boxes = ax.artists\n",
    "\n",
    "# for i,box in enumerate(boxes):\n",
    "#     for j in range(len(Algs)):\n",
    "#         if Algs[j] in Loss_Data.columns[i]:\n",
    "#             box.set_facecolor(sns.color_palette()[j])\n",
    "# for i,box in enumerate(boxes):\n",
    "#     box.set_facecolor(sns.color_palette()[i%len(Algs)])\n",
    "\n",
    "\n",
    "x = 0.10\n",
    "y = 1.00\n",
    "fig.text(0.16+x, y+0.05, 'Linear',\n",
    "         backgroundcolor=sns.color_palette()[0], color='white', weight='extra bold',\n",
    "         size='x-large')\n",
    "fig.text(0.22+x, y+0.05, 'Polynomial Kernelized',\n",
    "         backgroundcolor=sns.color_palette()[1],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "fig.text(0.395+x, y+0.05, 'Radial Basis Function Kernelized',\n",
    "         backgroundcolor=sns.color_palette()[2],\n",
    "         color='white', weight='extra bold', size='x-large')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment4-1.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment4-1.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "5d32ad97",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Third Experiment\n",
    "# Error versus Degree\n",
    "degree_set = [1, 2, 4, 6]\n",
    "fig, ax = plt.subplots()\n",
    "fig.set_figwidth(10)\n",
    "fig.set_figheight(10)\n",
    "Algs = [\"Linear\", \"PolyKer\", \"Rbf\"]\n",
    "Loss = []\n",
    "columns = []\n",
    "for i in range(len(degree_set)):\n",
    "    globals()[f\"Data_deg_{degree_set[i]}\"] = np.loadtxt(os.path.join('Degree', f\"Error_degree_{degree_set[i]}_Ker\"))\n",
    "    if i == 0:\n",
    "        Loss = globals()[f\"Data_deg_{degree_set[i]}\"]\n",
    "    else:\n",
    "        Loss = np.concatenate((Loss, globals()[f\"Data_deg_{degree_set[i]}\"]), axis=1)\n",
    "    columns = columns + [\"Linear\"+f\"{degree_set[i]}\", \"PolyKer\"+f\"{degree_set[i]}\", \"Rbf\"+f\"{degree_set[i]}\"]\n",
    "Loss_Data = pd.DataFrame(Loss, columns = columns)\n",
    "ax = sns.boxplot(data=Loss_Data, showfliers = False)\n",
    "# positions = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         positions.append((len(Algs)+1)*i+j+1)\n",
    "# colors = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         colors.append(sns.color_palette()[j])\n",
    "# bp1 = ax.boxplot(x=Loss, showfliers = False, positions = positions, patch_artist=True)\n",
    "\n",
    "xticks = []\n",
    "xticklabels = []\n",
    "for i in range(len(degree_set)):\n",
    "    xticks.append(int(len(Algs)/2) + i * len(Algs))\n",
    "    xticklabels.append(f'Degree {degree_set[i]}')\n",
    "plt.setp(ax, xticks=xticks, xticklabels=xticklabels)\n",
    "boxes = ax.artists\n",
    "\n",
    "for i,box in enumerate(boxes):\n",
    "    for j in range(len(Algs)):\n",
    "        if Algs[j] in Loss_Data.columns[i]:\n",
    "            box.set_facecolor(sns.color_palette()[j])\n",
    "# for i,box in enumerate(boxes):\n",
    "#     box.set_facecolor(sns.color_palette()[i%len(Algs)])\n",
    "\n",
    "\n",
    "ax.set_title(\"Relative Residual Averaged on Test Set, 30 Trials\", fontsize = 22, y=1.10)\n",
    "ax.set_ylabel('Relative Residual', fontsize=18)\n",
    "ax.tick_params(axis='x', labelsize=18)\n",
    "ax.tick_params(axis='y', labelsize=18)\n",
    "x = 0.15\n",
    "y = 0.87\n",
    "fig.text(0.06+x, y+0.05, 'Linear',\n",
    "         backgroundcolor=sns.color_palette()[0], color='white', weight='roman',\n",
    "         size='x-large')\n",
    "fig.text(0.15+x, y+0.05, 'Polynomial Kernelized',\n",
    "         backgroundcolor=sns.color_palette()[1],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.40+x, y+0.05, 'Radial Basis Function Kernelized',\n",
    "         backgroundcolor=sns.color_palette()[2],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment5-2.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment5-2.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "720cd4e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2S6a3snxVrOoxU4sLIrXrGEgpfSsifgl8CHgP2RzLnwM+FxH/IhsWtlKyX00ppZeA0/Iv3j8FDoyI/vl7vmm/ppCdoNmSp1tZ3uFSSm9GxN+AE8h6lIsJ8mSyBHkzspO5SzVdSGh6Sqmj5oJuT3I8gKzXeUPgN2T/654D3sq/0B9Ido5Rm/6/pWyO5/0jYneyXznfTdb7vzvwzYj4fkrph5XG2dmYIKucH5KdHHJURIxvpk5T7+3mLbTTtGxNmND8Y2QfDheklH5SZvkW1dpQPnTiD2TjGf8GnNRM1dfJPgz7AydU8IHb9HyOaGb769D+3uNaqMmxlPeK7Zc/fFt+a867I+LtKaX/AaSU/hcRd5P90ziE7MvQmLzu5WXWf4nsGDs9pTRp1aPP5EN4tic7MfOjaeWpqZo7rhuBd5AlAuWMaKb8pXy9CSmlG9oYZovHaxuWldPZPn9gFY6BlNLzwPn5jYh4D9mvFAeSfXm7uJqBtuBf+X0vskRyHtl+QdYrP2Y1xbGqmuZ4Ln3PP0R20u6uZJ/dpXbL7x8us6yW9iJLjh9MKR1XZnm7/r+llO4lu5oikV0j4UjgErIvS9ekMnNNdyWOQdZK8p+ifkZ2fJzZTLWm8XLDImK/0oWRzW36gfzhxA4Is1JNc6K+VLogIoaQncxULT8l65l4ADgiNXP57rzXp6nH5WPl6jSjaTzfByKi3E9mR1XQ1pqgVsfSZ8iO8VubximWu7F8zOhnS9a/PL8/Ju+p3YNsKr9yY1v/md9/vIrxw/LjurFMcgzZ7CnlNF1i94hmljdX3p79eJBsGrZNImKv0oWRzTtcOpa7LW12ps8fqOIxkLK5ui/PHxaHpjSdH1Bx51e0YdwH2fAKyHq4m35BuI/s14KdI6LSRGxRvu3V3Vm3b37/bEn59fn94VF+/vCm91O7xgh3oGb/v+Uqnge5VD4+/XKy6TqDyt+znY4JsppzNtmUNx+gTC9N/tPaL/OHP4uIjZuW5SeYTCAbx3VP6djOGmn6ae/TxROuImItsp/O163GRvITP75C9lPd+1MrlyMl661fRPYcHl76TyoiekTEfhFxcKH4TrIxdOvk6/Uu1N8a+O4q78hqVItjKX+em4YPtXZSY9PyT5f807yarAftA8DX8rLfNZOojiebleWUyC7esVJCEBF7RESlydOzZMMFtitNPiPiMzSf6P4mj/2AiFhhGFVkF6dpLo6Lyf4JHxMRP8h/2l1BZBdK+UzT4/w98Ov84c/yL6RNddcBfkGFQ5s64ecPtOMYiIiPRHaBmB4l9foD++cPi+PFp5ElyRtGxHoVxrdORDwYEUc287puT96DTTZ/+UKAlF3R7XSyoRZ/jYjdyqw7MCKOyD+fipp695sdPx/LL4wxpq07EhEn57+ulJavnY/p3pvsC9bVJVVuIDthdAvgrJJ1TyA74bOR8r8S1VLT/7d9i/ud///4HtkQiTaL7AI67yhTXkc2lSi0fs5J51fLKTS81fZGyTRvZZY3TTHUdBtdsrw4Uf9ssp+krmH5lD8v0MJE/S3ENYYyU6sVll9OC1NCUWYaHLKfA5vmgnyNbFaAv5D1fLxCljAkVp6/tWwsze0Hyy+8cCfNXzDkuJJ1Dmf5BP2TyU7su4ZsNommi4H8uGSd7Vh+YYYXyD7obyLr2flzueegDcfDxHydpt6p5m5HlqzX4lRNLJ/mbWILdTrkWGphe/vm684B1mqlbu/C6/D+kmVN0wM23Vaah7RQd5/Ca9bI8sn872D5hTeubuY1Gd1CuxfmdZYAt5EN72m6AM6ZzT1HZF8QmqZXeyDfl//mj3+a3/+vzHrbs3w+2en563ZVvu3n8/J7StYZxPK5u2eSvfeuzdevZ9UvFFLNz58Wj+c2xDWmueO90mOALCFt+sy6mexchb8X2niKkqkeyd7/TZ8lvyf7cvLjNsS9buE4npcfC1eTzSn9UGHZY5Sfy/ynhTqP5nH8leW/ICTg4GbWeS3f1q9ZebrFps/tT1XwGkzO15mUx/8Hsl/eZublsyhcuKRk3a1ZPgf6k/mx/UD+eC4l86K34/iYWO5Yb8uxWbJvI0rK/5aXzyf7teJqsvfWIpZPMTixLdtk+VSqTe/N35NdqKvp4lVXrcpz0FluNQ/AWw1f/NYT5H5kvUVlE+S8Tm+y6YCarpA2n+zb7NnA4DL1W/0QoAMS5Lz8bcCvyC4QsCDft0vIpig6jeokyKkNt5X2CxhJNqzlSbJ/JnPyD6ebgS8DQ8usszlZ7+Zrhef9FLKfV8s+B60cDxPbGP/55fa5hXZH00qC3FHHUgvbujJf9w9trN+UhP65pHz/wvNyfxva2Qj4Edk/oKZ9nJw/9ydTckEG2pYg9yA7aeshskTxTbKhOwe39hyRfVG4NY/lLbKk6DCyk8ESZeYaz9dbh+yk1nvIko4FZOOC7yb7VWSHMusMIuuVe75Q/1dkU8JdToUJckcdM60dz22IaUxLx3slxwDZDCo/JvvSOiV/3qaSjQs9iTJf7shmwPg12edb03zGrb5HyHrxdyeb4vPfZL9OzCbrkX6FbPzxFyi5SmJJG3uRJZQv5rHOIEviryb7mX9gSf3+ZBeRaWD5HMSpsHwI2Ze418rtawtxHEk2JeUksi8Ti8neF/cBZ1Dm87Rk/aFkv1A07ccrZF9O3t7e46LMe3pMSXmrx2ZebzLl/7/1IbvC7BNkX3CmkSXNu9PMZ3Bz2wTen+//w3k7C/Ln4l9kvy71WNXnoTPcmiZylyQJgIj4Llmie1FK6cRax6PuKSKOIOv9/UpK6YJax6PuxTHIktQNRcTwiNiwTPmhZL3DiawXTqqVA8h+cfhlaxWlanOaN0nqng4EfpVfAOAFsp/Y38HyE6bOSCk9UKPYJFJKpTPHSKuNQywkqRuKiG3IrtD2HrI5VAeQzVzzANk8x/+oYXiSVFMmyJIkSVKBY5AlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqaBXrQNQ5zTi5BteBTasdRwdaOrkH79voxZrnLZOV38O1PlN5bSZLR/Hue2v2N7jWeo6pj5+zONteu+rPHuQ1V5d/R9pW/avqz8H6vwqOUY9nqWuw/fzKjJBliRJkgpMkCVJkqQCE2RJkiSpwARZkiRJKjBB1mp19fF78OPDtq91GGu+Mf+AD15Y6yjabqcj4XvTK1tn9Mnw5Yc7Jp7V6cO/gE9fv/zx6tqvkx6Dvb7R8dvpQEMHDuXxYx5n57ftXPZxW4zacBSPH/M4Gw6o/TlJa1IsHeHSgy7ltD1Pq3UYa4zHj3mc99e9f9njmw67ieN3OL5Dt9nVj7E1idO8qep+8vEd2Gjt/hz1m3tXWvb5Kx9kydJUg6hWow//Anb6VPb30sUwqxGeuwVu/SHMe7O2sXWUJ/4Mz/67+u2O+Qe88Tz87cTlZSP3g09cAY9eDf8cB2kNO57+eyHcd3Gto6iaM959Bh/a4kMALFm6hNfnvc69r97Lzx76Ga/Nfa2q23p17quMvmY0MxfMrGq7Y3ccyxd3+uKyx3MXzeXFt17kt5N+y98b/l617Twy7RFGXzOaN+a/0e42bjrsJoYNGrZS+ehrRjN9foVfQtvp+B2O56NbfpSDrzt4hfKT/u8klqQlHb79oQOHcvPHbubT//w0D7+WfdnsET04dfdTOXTzQ/naxK9x9yt3d3gclTriH0cwf8n8WoehKjFB1mo1c96iWoewTO+ewaIlHZRcvXAX/GkM9OgFG++U9QavPQz+8ImO2V6tLZ6f3Trajodnz+XEs+HOn7S/nR69si8vHWHhnOzWhTw49UG+PvHr9OzRk03X2pRTdz+Vc/c+l6P/eXRVt7M0Le2wJPDlt17mqBuPAmBA7wEcsvkhnPneM2mc08iDUx+syjYWL11clfh/8/hvuPLJK1coW5Wku1pmLZxVk+327dmXc/Y6h+032J7P3PwZnn7j6Xa106tHLxZ31PseeHNBF+0A6aZMkLVaXX38HkyePoeTr3t8hcdT3pzHp/fcjN49e3DLU1P57l8nMW/R8p6KD+ywMWNHj2TkkEFMm72Am554lXP/9b9ldd6zxQacsO8WbLXRWvToETzVOIszb3yKR19e3hM1+cfv47S/TWLn4euyz1Zv487/vc6X/vBQx+zokkUwO+9dm9UI92wD+5wCvfplieS7ToRdj4O1h8LMKXDfr+CeCeXb2ulTcPCZcO5WsGje8vK9v5Ut+9kOMOI9MOYG+O2HYe9xMHRnmPEi3HQK1N+6fJ3BW8BBZ8KId2ePn78Tbj4F3mjIt3VkloD+9sNwyNmwfh1MeRCuOzb7++CzYfBIePl++MsX4K1XVlzvh4Ozx/3WhUPPgc3eBQM2gJkvw4OXw90Xtf85fc9Xs+fwb1+GR69aXr5+Hez/A6jbCxLQ+BDcfCq89uTK+3TQmfC2reCao7LX4I3ns+dpt89Bzz7wzI1wwzdg0dzl7W93GLznJNjg7TB7Kjz1d7jtRyvWKRp9MuzwSbggHyZwWjO9oedvn227z0DY97uwzYeg/7rw+nNwxznZdppsuB28/6ew8Y7Zc3nbGe17Dttp0ZJFyxK/1+a+xrX/u5Zv7/5tBvYeyJxF2ZeBE3c+kf2H78/GgzZm5oKZ3PHyHZz34HnMXjR7WTsHbXYQX97ly2w4cEOemv4Uv3niNytsp1zPYVvabYti8j19/nQufuxijt76aLYZvM2yBHnPjffkczt8jrev93Z6RA+eeeMZzn3wXJ54/Yll7Xx0y49yzDbHMGytYcxbNI/6mfV8645vMXXuVEZtOIrLDr6M/f+0P1PnTqVX9OKr7/wqB404iPX6rcfMBTN5YOoDfPOOb7YY69zFc8sm2me8+ww2HLAhn/v355aVvb/u/Zz13rPY/ops6NrYHcfy/rr385MHfsJX3/lVNhywIU+8/gTfv/v7vPzWy8vW22b9bThxlxPZachO9Ige1M+s56x7z6JunTpO3Dn7xebxY7LP6V888gsmPDqBSw+6lBdnvchpd58GQK/oxQk7n8D7R76f9fuuz4tvvcjFj13Mjc/fuGw7jx/zOGfccwY7DtmRfYfvy1sL3+IPT/2ByyZd1qbXbe0+a3PRfhexbt91OfqfRzNl9pRlyw4ecTDHbn8sm6+zOa/Pe51bX7iVix65iHmLs8/JSw+6lJfeeolpc6fx0S0/Ss8ePTniH0dw88du5hsTv8H7R76f3TfenenzpvPzR37OPxr+sazt/r368+Wdv8wBIw5g7T5rM3nmZH712K+49cVbV4qxyU2H3cSfn/0zFz92MR8a+SHOeM/K79P7X72fz9782WWvwVfe+RV2GrIT85fM56GpD3HO/efwypxXltU/cqsj+ex2n2Xtvmvz0NSHuKHhhjY9b1p1JsiquUO325g/PfgSh198D5usN4ALj9iZKW/O47xbngXgY+/chO++fxtO+9skHnjhDTZepz8/+OC2rD+wD1/746MADOzbk9/ePZmnXnmLXj2CY9+7OVd8djdG/2QiM+Yu77X+yn5bcv6tz3Luv/5Hzx6x+nZy8Tzo0TPrudz1ONjnVLjpZHj+DqgbDQefBQtmw8NXrrzuE9dlid02H16eGEbAzp+CB3+7Yt0DT4dbvp8lfnt/Ez5+KZy/A8yfmSXnR/8lW3bZ+5bXP+o6+PluWVIPED1g9LeyYQ1LF8PHLstuaQnc8FVYvBA+9psspms/U35/e/WBqU/C3T+HeTNg+O7w/vOyISaP/L6y5y4CDjknS3SvOhyeK/yDGjgEPnsTPPUPuPQQWLIQdjs++7Jw0SiYO335Ph3wQ/jXqVlSuuCtrHybD8LDv4fL3wfrDoePXQozXoKJZ2XLdzoSDjoL/vlNeOne7AvNoeOzpP8vn29b/D/Zsrgz8JFfwdobL/8CdcTV2T5e+xl469XsePjYpfC7j8Hzt2ev26f+BFOfgEv2g979s+dj4JDKnscqGdJ/CAdsdgCLly5maVq6rHzBkgX84O4f8OqcV7Ne5j1O5eTdTuY7d30HgK3W34pz9j6HS5+4lOufu56R647kW7t+q9XttdZue/SIHhww/ADW6rMWj017bFl5/979ufrpq3nmzWfo1aMXR299NL/c/5e87y/vY+aCmWyz/jZ8d4/v8r27vscDUx9gUO9BbD+k+XMqjtz6SA4acRAn33kyL89+mcH9Blc0vrq9Nui/AZ94xyc4+Y6TWZwWc8a7z+D0d53OZ27O3q8j1x3JZQdfxsSXJ3Lsv45l9sLZbLvBtvSIHtw0+SY2X2dz3lf3Pg7/x+FAlrCX8+VdvsxHtvgIp99zOs+8+QwHbHYAZ733LKbPm869ry4fYjd2x7Fc+PCF/OLRX7DXsL349u7f5onpT3D/q/e3uB9DBw7ltD1P462Fb/Hpf36aGQtmLFv2oZEf4pu7fpOz7juLR157hA0Hbsgpu53Cev3W45T/nLKs3kEjDuKGhhs47l/H0TN6Lis/6Z0ncf6D53PO/edw2JaHcfq7T+exaY/x4lsvAnDRvhcREYy7fRzT5k5jj433YPxe4xl7y9gV9q05N02+if9M+c+yx5ustQm/3P+X3PfqfQDUrVPHZQdfxhWTruDH9/6YXj168YUdv8DFB1zMYX87jIVLF7LPpvswbtdxnPfgedz+8u3s8rZd+Pqor7e6bVWHCbJqbsqMeZz+j6cAqJ82h78/2sh7txyyLEE+af8tOeemp/nLw1nPwUtvzOP7f5vEHz+/J6f9fRKz5i3m5klTV2jz239+nEO225i93z6E6x9pXFb+ryencsV/J6+eHWsy5B2w6+eyXteFs7Oe0PsuznpUIeu9HbxFdsJVuQR58Xx47Gp45zHLE+S6fWGtoSvXv/3s5Qnkv78HOx4Bw0ZlvcjbfxwGbgAX7w1z859rr/0snPR41kv66NVZWfSAm74Nr2a9Rzx4eZZI/2pveOWRrOyBy1o+QWz2a3DX+csfz3gBhu6SxVBpgrz9J6BXX7jsEHjhvysu2/XYLOG94WvLy/75TdjyQNjhE8t75aNH1lP+Ysm4xZkvZ+UArz+bjaUeue/yBHn0yXDrD+Cxa7LHb06GG8fBZ/4J//wWzJ/RevyzC+N09/0ubLgt/Hr/7HUd8R7YdDcYvyUsyH++fvBy2GQU7H58liDv8AnotzZc97nl27v+i/DFe1rfdpWM2mgU9x55LxFB/179Abh80uXLeuoALn5s+bjrxjmNnP/Q+Yzfazzfveu7JBLHbHMMj017jJ899DMAJs+azNsGvI1Tdj+FlrTWblttstYm3Htkltj06dmHRGL8A+N5dNqjy+rc9uJtK6zzg7t/wAGbHcB7hr6HG56/gY0GbcS8xfO47aXblvWcPzvj2Wa3ufHAjZk8azIPTH0AgFfnvMqk6ZNajfXzO3yeY7c7dtnjf7/w74q+EPTp2YdT7jxl2U/+lz5xKWfvdTZ9evRh4dKFHLvdsbz01kucfMfJy57DpsQQsoR4SVrS4nCRfj378amtP8U595/Dv174FwC/fvzXbLfBdnxuh8+tkETeNPkmrnv2OgD+8PQfOHyrw3nX0He1miD/8N0/5IVZL3Dcv45baWzv2J3Gcv5D5y/r9X159suced+ZXH7w5fz4vh8vGw4ybe40zrjnjGX7OXTgUACuevoqbn7hZgAufPhCjtjqCHbfeHdefOtFRm04ih3ftiOjrxm97JeKa5+9lh2G7MCRWx/ZpgR5wZIFLFiyAIBBvQdx2rtO4z9T/sMvH/0lAJ/d7rPc/vLt/OLRXyxb5+Q7T+auI+7iPcPew20v3caYbcdw8+Sb+e2TWUfIC7NeoG7dOsZsO6bV7WvVmSCr5p58ZcVxba/Oms97t8x6x9Yf2IdN1hvAd963DaccuvWyOpF3/o4YPJDHXp7JJuv152sHvJ1dhq/H4EF96BFB/949GbZu/xXafvSlGR26L8uMeA+cMgWiZ5bcNdwO/zgJ+q4F62ySjVEueuEu2GNs1jtYHEbR5IHL4Ev3Zsn2tGeyZPnZm7Of/IuaklrIErOli2FQ3tP4tq2ydecWxjLOmQbTn4Uhy59b0lKYWvgn3rSNqU+sWDZgcJZ4FnoRl4mAd58E2300G3vdqy/06A0zX2ruGWvey/dnwzr2/Q784ZPLe38hS7o33il7rot69Yf1R65Y1lhmOE3x+YJsOMzIfbO/BwyGdTeDg36UfUFYvnPZ3fp15dtszg6fhD2/BFd8IPvC0BR/zz7w9adWrNuzD0yvz/4e8g6Y9r8Vk/HXnmpbcl4lj7/+OKf+51T69uzLQSMOYs+N9+Sih1ccLrPf8P04epuj2XStTRnUexARQZ+efdig/wZMmzeNunXruPeVFROLh6a2/vy11m5bvTrnVY7713FAltztMGQHvrnrN5mzaA5/fe6vAAwbNIwv7fQldhyyI+v3W58e0YN+vfqx8aCNAbi78W5efutlbvroTdz9yt3c98p93PLiLSv0bBb99bm/cvGBF3PjR2/k7sa7ubvxbia+PLHVcbBXP301Vz9z9bLHc5sbztOMaXOnrTAe9rW5r9EjerB+//V5dc6rbDN4G+6acldFXzBKDV97OH169llp/PYDrz7Acdsft0JZ6ZjhqXOnMrjf4Fa3ceuLt3LQiIP4+Ds+vsKY7PX6rsewQcMYt+s4vjFq5S/qm6616bIvIk++8WTZ/SzG1PRloCmm7TbYjt49enPrx1ccTtG7R29eeOuFVuMu6hE9GL/3eOYsnMOp/zl1Wfm2G2zL8LWGL/vS1qRvz74MX3s4kPX0//P5f66w/OGpD5sgryYmyKq5RUtWTLAS0COfgLBpFMQP/j6JuxtW7s14dWbWq3DpmF15c85Cvnf9EzTOnM+iJUu59gt70qfXijMZzl3Y8WdgA/DyA/DXsVmC+tar2U//kCXIUGbmhVaGe0x7Ous93eXT8J/z4B2HwNVHrlyvaTsrNF14DsrO+BBQ/AeSlpYkvfmycv/UIyj7P3bPE7Oe8ptPhVcezXrO9/givP3AMpVb8UYDXH8CHHN9Np3alR9dnhxGj6yX9cZxK683vzD2d+liWLxg5TpLFpUUpOXfvpqet3+eDJPvXHndWVNWLmvO8D3gAz+Dv34xS/ibRA+YPwsu2adMbE2vZcnrUwMLFi/gpbeyLzfPPfIcm629Gafufirf++/3ANh+g+05d+9z+c0Tv+HcB85l1sJZ7LDBDpz53jPp3aM3AEFUnJC1pd22Wrx08bJ9gKznd9vB2/LFHb+4LEG+aL+LmDF/Bj+690e8OudVFi1dxG8P+e2ybc1bPI/Dbzicnd+2M3tsvAcff8fH+eqor/K5mz/Hk288udI2n3nzGQ6+7mD2HLonu220GyfvdjIn7HwCn7rxU8t6oMuZuXDmCrE2WZqWrvRR0avHyv/GFy1d8bhuet57FGZ2XZXkuFzbTSJWfp1X+kKQssSxNVc9fRX3vXIf39njO/Tv1X/ZrwlN655939nLhiwUTZ2zvONgXrkOB8o8RykR+Xu/R/Rg9sLZHH7D4a2u15pv7/ZtRqw9gk/d+CkWLl3++dyDHvy9/u8rjcMHVpjFpVqvkypngqw12uuzFzJlxjzqhgzi6vvL9z6uO6A3b99wLcZceh93PPs6ABut3Y/BA/uuzlBXtHj+8hPfiha8lf2sP+I98Oy/lpdv9i5484XyvcdNHrwMDv5xNo539tRs6rhKvPY0jPosDFh/eS/ywCHZ8I7/VnnO5c3elQ31KA4BGTyy+fqtefP5bIzxMX/Lpn678sMw53VofDgbJzyrsfqzaMyZlvV4b7AlPHRF+9tZbwR88vdwx09g0p9XXNb4cHZiXq++Wa9wOdOezn4x6LfO8qR/yFbZiZA1MuGRCfzlQ3/h6meu5snpT7Lz23ZmxoIZXPjw8uPogM0OWGGd+hn1K42/bW08blvaXRVL0hL69eoHwDp912GLdbdg7C1j+W9jNpRnwwEbsn6/9VdYZ2layoNTH+TBqQ/y80d+zvUfup5D6w4tmyBDllTf9uJt3PbibVzy2CVM/ORERm04ittfvr3ieN+Y/wY7DtlxhbKt19+6mdrNe3L6k+yx8R7NfmlZtGTRCuN1y3lx1ossWLKAURuOon5G/bLyd274Tp6b8VzFMTXn2mevZd7ieZz+ntPp17MfFzx8AdPnT+eV2a8wYp0Ry4ZuVNOk1yexdt+16duz7yrty5FbHcmhdYdy9I1HrzQLyaTpk3j7+m8v+0WoSdN75ppnrllWttPbdmp3PKqMFwpRhxjYtyfbbLz2CreRQwa2q62f3PwMY941ghP23YK3bziIug0GcuA2G3LmR7YDsqnjXp+9gMN3G87mGwxkl+HrcsEROzN/8WrqLa7Uf87LTiTb5ZjsZ/p3fiYbS3vnuS2v92R+MYq9vgkPXVn5/L+P/ylLKj92eTYbwsY7ZSeDvfXKyonbqpr+XPYlYMR7lw+PGPbOVWtz1hS49OCs13XMjbDWRtlY7h494fA/wPA9sxPthu+RjfXddLdV349bT4fdP5+Nt37b1tmXia3eB+8/v23r9+oHR14DL98HD/8WBr1t+a2p97v+/+CTv4Ot3p8l0xvvtPz4gOx1WzAbPnpxNpvFJqPgQz9vfhaN1eD5Wc9zx8t3cNIuJwHZeOL1+q3HR7b4CJsM2oQP1H2Aw9+xYu/blU9eyY5DduTEnU9ks7U3Y9/h+3LMtse0uJ22tNtWPaIHg/sNZnC/wQwdOJRDNj+ED4z8wLJZCWYtmMX0edM5bMvD2GztzdhxyI6cvdfZzC988dpn0304epuj2Wb9bdho4EbsO3xfNhq40QoJYtGYbcfwvs3fx8h1RzJs0DA+suVHWLx0MS/Mquxn+ib3vHIPdevWccRWR7DJWptw2JaHcdCIgypu57InLmP42sP58V4/ZpvB27DJWptw4GYHLku+p8yewuD+g9lxyI6s23dd+vXst1Ib85fM5/dP/Z4TdjqBAzc7kOFrDee47Y9jn0334deP/bpd+9ecG56/gW/c/g2O2faYZSd2XvDwBXxqq09x/A7Hs8W6WzBi7RHsu+m+fG+P763y9u599V7ubryb80afx77D92WTQZuwzfrbcORWR3LYloe1qY3dN9qdb+z6Dc669yxmLpi57Nhbu8/aAFzy+CXUrVPHj9/7Y7bbYDuGDRrGrhvtyrd2/RabDNoEgCuevIKDRhzEp7b+FMPXGs6Ht/gwHxj5gVXeP7WNPcjqEDsPX48bv/LeFcrqX5vNtNllfuZuxV8ensKcBYv5wt4j+dLoLVi8dCkvvTGXmya9CmR54pd+/xCnfXBbbvrKe3l5xjzG3/wMJx+8VVX2peru/zX0HgDv/Tq879ws8bvltPIn6BUtXpCdSLf7F1qvW3b9+XDlR7IZMz6TT8M0+T/wu8PKDDVYRbefk421PuIPsGRxNhPHvb+CHT+5au3OmZbNOHHUn+EzN8FvPwi/PgD2+16WZPZdK+tdf/FueGtq6+215rFrsuEh7z4pe72WLs5O1CtOwdaSQW/LenuHbAXvOHTFZU3TvF11eHYy4EFnZrNbzHszGxt9V3YyG4vmwe8/nh0rn7st6y2/7XTY//urvn+r4NInLuXKQ69k9412546X7+CSxy7hK7t8hf69+vPg1Ac598FzOWevc5bVf/KNJ/nWHd/iy7t8mTHbjuHpN57mnPvP4YJ9L2h2G21pt602WWsTJn5yIpCdQPXqnFf5/VO/X/azfSLxjdu/wcm7ncx1H7yOxtmNXPDQBXz1nV9d1sashbPYe5O9OW774xjYeyCvznmVix+7mL8895ey25yzaA6f3vbTDF9rOD2iBw0zG/jaxK8xedbkiuOHLEG+4KELOHb7Yzlpl5OY+PJEfvnoLzl1j1NbX7ng2RnP8tmbP8tXdv4Klx10GYlE/Yx6zrovOzn1thdv49+T/83P9/s56/RdZ9k0b6UufOhCUkp8c7dvLpvm7dt3frtNJ7FV6rYXb+PLt32Z8/Y5j369+vHDu3/I3EVz+ex2n+W47Y9jydIlvDz7ZW59oflp2Cpx4m0nMnbHsYwbNY4NB2zIzIUzefqNp7nsibZNT7fLhrvQu0dvznrvWSuUN03z9vzM5zn6xqM5cecT+dX+v6JPzz68Nvc17nv1vmUnGN724m385IGf8JntPsNJu5zEI689wnkPnseP3vOjquyjWhZpTbsKlTqFESff0OUPnMk/fl/LA4NPW2f1Pwcfvzzrlbyqfb1o6oZOm9mm+Qy3v2L7Lv+elrqTx495fDXOZdr12IMsdQb91oXN9sx+hr/yw7WORpKkLs0EWeoMvnAH9F8/+9l98n9ary9JktrNBFnqDM7fodYRSJLUbTiLhSRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggqz2qsJlytZobdm/rv4cqPOr5Bj1eJa6Dt/Pq8gr6UmSJEkF9iBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklTQq9YBdDYbbLBBGjFiRK3DkCRJ0ip68MEHX08pDSktN0Gu0IgRI3jggQdqHYYkSZJWUUS8UK7cIRaSJElSgQmyJEmSVGCCLEmSJBWYIEuSJEkFJsiSJElSgQmyJEmSVGCCLEmSJBWYIEuSJEkFJsiSJElSgQmyJEmSVGCCLEmSJBWYIEuSJEkFJsiSJElSgQmyJEmSVGCCLEmSJBWYIEuSJEkFJsiSJElSgQmyJEmSVGCCLEmSJBWYIEuSJEkFJsiSJElSgQmyJEmSVGCCLEmSJBWYIEuSJEkFvWodgCRJ0qqYMGECDQ0Nbao7ZcoUAIYNG9Zq3bq6OsaOHbtKsalzMkGWJEndxvz582sdgjoBE2RJktSpVdLLO27cOADGjx/fUeGoC3AMsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklTQq9YBSJK6lgkTJtDQ0NBqvSlTpgAwbNiwNrVbV1fH2LFjVyk2SWoLE2RJUk3Mnz+/1iFIUlkmyJKkqmprL++4ceMAGD9+fEeGI0kVcwyyJEmSVGCCLEmSJBWYIEuSJEkFJsiSJElSgQmyJEmSVGCCLEmSJBWYIEuSJEkFJsiSJElSgQmyJEmSVFDTBDkivh0Rf4qIhohIETG5wvXXi4ivRMS/IuKliJgXEc9ExMURsWkz66wTERdGxJSImB8RkyJibEREVXZKkiRJnVqtLzV9JvAG8BCwbjvW3x04F7gVuAh4HdgO+DzwiYh4V0rpyabKEdEH+DewM3Ah8BRwCPALYEPgtHbuhyRJkrqIWifII1NKDQAR8QQwqML1nwbekVKqLxZGxA1kifAPgY8VFh0H7Ap8OaV0YV52SURcB5wSEZellF5ox35IkiSpi6jpEIum5HgV1p9cmhzn5beQ9UxvV7LoSGAucElJ+flAb+CTqxKPJEmSOr8ueZJeRKwDrAVMLZT1AHYBHk4pzS9Z5T5gKVnvsiRJkrqxLpkgA98h6xG+olC2HtAfmFJaOaW0AJgODFst0UmSJGmN1eUS5Ij4GPB14GbgssKiAfn9gmZWnV+oU9rm8RHxQEQ8MG3atKrFKkmSpDVPl0qQI+JQ4PfAg8AnUkqpsHhuft+3mdX7FeqsIKV0cUppVEpp1JAhQ6oWryRJktY8XSZBjoiDgT8Dk4ADU0qzSqq8CcyjzDCKiOgLDKbM8AtJkiR1L10iQY6Ig4C/kE37tn9K6c3SOimlpWTzLe+cJ8RFu5E9Fw90dKySJElas3WaBDkiNo6IrSJiQEn5gcBfgf8B+6WU3mihmavIxhkfX1J+ErAY+GPVApYkSVKnVNMLhUTE0cBm+cMhQJ+I+E7++IWU0pWF6mcBxwD7ABPz9UcB1wNBdkLeIaVXjE4p/a7w8BLgM8BPI2IE2ZX0DgU+ApyRUnq+WvsmSZKkzqnWV9I7Fti7pOz0/P524Epath3ZyXUA5zVTZ1mCnFJaGBH7A2cAR5CNO64HTgR+3vawJUmS1FXVNEFOKY2uoO4YYExJ2eXA5RVucwZwQn6TJEmSVtBpxiBLkiRJq4MJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUkGvWgcgSZJUzoQJE2hoaKhqm/X19QCMGzeuam3W1dUxduzYqrWn2jNBliRJa6SGhgYenvQ0C/oPqVqbvRdm9/c0TK9Ke33nTatKO1qzmCBLkqQ11oL+Q3hpy8NqHUazNn32ulqHoA7gGGRJkiSpwARZkiRJKjBBliRJkgpMkCVJkqQCE2RJkiSpoKazWETEt4FdgHcCmwMvpJRGVNjGJ4BD8na2IdunzVNKk8vUHQ38XzNN3ZBSen8l25bWdJXMITplyhQAhg0b1mpd5/yUJHVltZ7m7UzgDeAhYN12tvFFYHfgUaAeeEcb1rkYuLOk7OV2bl/qEubPn1/rECRJWiPUOkEemVJqAIiIJ4BB7Wjj00BjSmlxRFxE2xLku1NKv2vHtqROpZJe3qarSo0fP76jwpEkqVOoaYLclByvYhsvtme9iBgILEkp2W0mSZKkZbrrSXo/A2YD8yLifxHxlYiIWgclSZKk2qv1EIvVbRHwN+BGoBEYChwLnA/sBHymVoFJkiRpzdCtEuSU0l3Ah4plEXEJWcI8JiJ+k1L6T+l6EXE8cDzA8OHDV0eokiRJqpHuOsRimZTSUuCs/OGhzdS5OKU0KqU0asiQIasvOEmSJK123T5Bzk3O7zeoZRCSJEmqPRPkzJb5/dSaRiFJkqSa6zQJckRsHBFbRcSAVWhjcJmyvsBp+cO/t7dtSZIkdQ21vtT00cBm+cMhQJ+I+E7++IWU0pWF6mcBxwD7ABMLbewF7JU/HJXfnxARMwBSSmcU2rgpIhqBB1k+i8VRZD3IF6aU7qvOnkmSJKmzqvUsFscCe5eUnZ7f3w5cSev2Bb5fUvb1wt/FBPla4MPAiWSXtp4DPAx8P6V0VZsiliRJUpdW6yvpja6g7hhgTJny01g+RKK1Ns4Gzm7rNiVJktT9dJoxyJIkSdLqYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFdT0UtOSpM5hwoQJNDQ0VLXN+vp6AMaNG1fVduvq6hg7dmxV25TUvZggS5Ja1dDQwMOTnmZB/yFVa7P3wuz+nobpVWuz77xpVWtLtdfY2EjfubPY9Nnrah1Ks/rOnUZj44Jah6EqM0GWJLXJgv5DeGnLw2odRovW5ERKUudhgixJktZIQ4cO5cX5fdfoL2abPnsdQ4cOrnUYqjJP0pMkSZIKTJAlSZKkAodYSJ2QMwpIktRxTJClTsgZBSRJ6jgmyFIn5YwCkiR1DMcgS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFZggS5IkSQUmyJIkSVKBCbIkSZJUYIIsSZIkFfSqdQCSKtfY2EjfubPY9Nnrah1Ki/rOnUZj44JahyFJUkXsQZYkSZIK7EGWOqGhQ4fy4vy+vLTlYbUOpUWbPnsdQ4cOrnUYkjqxvvOmVfXXst4LZgCwqO+6VWmv77xpgJ9zXY0JsiRJWiPV1dVVvc36+hkAjKyrVlI7uEPiVG2ZIEuSpDXS2LFjq97muHHjABg/fnzV21bX4RhkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSqoaYIcEd+OiD9FRENEpIiY3I42PhERl0XEoxGxKG9nRAv114mICyNiSkTMj4hJETE2ImJV9kWSJEldQ63nQT4TeAN4CFi3nW18EdgdeBSoB97RXMWI6AP8G9gZuBB4CjgE+AWwIXBaO2OQJElSF1HrIRYjU0qDU0oHAI3tbOPTwFoppT2AW1qpexywK/C1lNLXUkqXpJQ+CvwZOCUiNmtnDJIkSeoiapogp5QaqtDGiymlxW2sfiQwF7ikpPx8oDfwyVWNR5IkSZ1brXuQV5uI6AHsAjycUppfsvg+YClZ77IkSZK6sW6TIAPrAf2BKaULUkoLgOnAsHIrRsTxEfFARDwwbdq0jo1SkiRJNdWmBDkiBkXEkoj4bkcH1IEG5PcLmlk+v1BnBSmli1NKo1JKo4YMGdIhwUmSJGnN0KZZLFJKsyNiBvBax4bToebm932bWd6vUEeSVNDY2EjfubPY9Nnrah1Ki/rOnUZjY3P9IJLUNpUMsfg/YO+OCmQ1eBOYR5lhFBHRFxhMmeEXkiRJ6l4qmQd5HHB7RPwAODelNKuDYuoQKaWlEfEQsHNE9M3HHTfZjezLwgO1iU6S1mxDhw7lxfl9eWnLw2odSos2ffY6hg4dXOswJHVylfQg30o2DOE7wJsR8Wp+Bbzirb5jwoSI2DgitoqIsuOE2+gqsnHGx5eUnwQsBv64Cm1LkiSpC6ikB/lFIFVz4xFxNNB0cY4hQJ+I+E7++IWU0pWF6mcBxwD7ABMLbewF7JU/HJXfn5CPmSaldEahjUuAzwA/zS9H/RRwKPAR4IyU0vNV2TFJkiR1Wm1OkFNKoztg+8ey8rjm0/P724Erad2+wPdLyr5e+HtZgpxSWhgR++dlR5CNO64HTgR+3vawJUmS1FVV0oNcdZUk3SmlMcCYMuWnAadV0M4M4IT8JkmSJK2g4gQ5IkYCHwLq8qIG4PqUUoeNP5YkSZJWl4oS5Ig4HTgZ6Fmy6JyIODOl9L2qRSZJkiTVQJtnsYiIzwKnAveSndS2ZX77MHA3cGpEfKYDYpQkSZJWm0p6kL9ElhyPTiktLpTXR8SNwJ1k43ovq2J8kiRJ0mpVyTzIWwNXlyTHAORlV+d1JEmSpE6rkgR5ITCoheVr5XUkSZKkTquSIRb3A5+PiF+nlKYWF0TE28iuTndvNYOT1Ly+86ax6bPXVa293gtmALCo77pVa7PvvGlk041LktR5VJIgn052uemnIuI3wJN5+bZkV6dbC/hUdcOTVE5dXV3rlSpUXz8DgJF11UxoB3dIrJIkdaRKrqR3R0R8FLiIFa9UB9llqI9JKd1ZzeAklTd27Niqtzlu3DgAxo8fX/W2JUnqTCqaBzml9PeIuAF4J7A5EGSXan4opbS0A+KTJElSJzdhwgQaGhparTdlyhQAhg0b1qZ26+rqOqTTqE0JckQMAh4FLkwpnU82Hvn+qkcjSZKkbmv+/Pm1DgFoY4KcUpodEYOB2R0cjyRJkrqYtvbyrinD/SqZ5u0eYFRHBSJJkiStCSpJkE8GPhERn4mI6KiAJEmSpFqq5CS9nwJvAr8GzomIemBuSZ2UUtqvWsFJkiRJq1slCXIdkMimdAPYsPrhSJIkSbVVyTzIIzowDkmSJGmN0KYxyBExKCJui4hjOzogSZIkqZbalCCnlGYDu3ZwLJIkSVLNVTIG+RFg6w6KQ5K0hus7bxqbPntd1drrvWAGAIv6rlu1NvvOmwYMrlp7krqnShLk7wN/iYgbUkr/11EBSZLWPHV1dVVvs75+BgAj66qZ0A7ukFgldS+VJMhHkc1gcUtEPAr8j/LTvDlOWZK6mLZeBasSa8oVsySpVCUJ8pjC3zvlt1IJMEGWJElSp1XJNG+VXHVPkiRJ6pRMeiVJkqSCFhPkiBgaEf3a0lBEbBgR+1YnLEmSJKk2WutBfgn4aNODiFgnIh6LiN3K1N0f+Hc1g5MkSZJWt9YS5Ch53AvYDhjUMeFIkiRJteUYZEmSJKnABFmSJEkqMEGWJEmSCkyQJUmSpIK2XCjk0xGxR/53P7Kr5Z0QER8uqff2agYmSZIk1UJbEuQD81vRh5upm1YpGkmSJKnGWkuQN18tUUiSJElriBYT5JTSC6srEEmSJGlN4El6kiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVNDsPckTc1o72Ukppv1WIR5IkSaqpli4UUsfKl44eCGyQ/z0DCGCd/PHrwOxqBidJkiStbs0OsUgpjUgpbd50A/YD5gE/A4amlNZPKa0HDAUuAObmdSRJkqROq5IxyOcB/00pfTWl9GpTYUrp1ZTSScA9eR1JkiSp06okQR4N3N7C8onAPqsSjCRJklRrLY1BLpWArVtYvi0rj1mWJEnqUBMmTKChoaFNdevr6wEYN25cq3Xr6uoYO3bsKsWmzqmSHuR/AWMj4tMREU2FkTkG+HxeR5IkaY3Ur18/+vXrV+swtIarpAf5a8CuwGXAjyPiWbIe47cDGwIv5XUkSZJWG3t5VW1t7kFOKb0M7AScDbwJ7Absnv99NrBTXkeSJEnqtCrpQSalNBM4Jb9JkiRJXU5FCbIkSa1p6wlTlZwsBZ4wJWn1qeQkPSJi04i4NCJejoiFEbFvXj4kL9+1Y8KUJHU1niwlaU3V5h7kiNic7GIg/fL7jZuWpZSmRcQo4Djg/moHKUnqPOzlldTZVTLE4kfAUmA7sktOv1ay/EbgA1WKS5IkqVuqZF7nKVOmADBs2LBW6zpMqe0qGWKxP/CLlNJLlL8gyAvAJlWJSpIkSa2aP38+8+fPr3UYXU4lPchrA6+0sLxPhe1JkiSpRCW9vE0nuY4fP76jwumWKulBfonsctLN2QN4btXCkSRJkmqrkgT5z8BnI2K7QlkCiIjDgI8Df6xibJIkSdJqV0mC/CPgZeBe4HdkyfHJEXE3WWL8KHBuJRuPiG9HxJ8ioiEiUkRMrmT9QjuHRsR/I2JORLyRt7l5mXqj8+2Uu/2jPduWJElS19LmMcMppVkRsSdwOnAkEMABwAzgF8CpKaVKR4mfCbwBPASsW+G6AETER4FryRL0ccA6wEnAXRExKqXUWGa1i4E7S8q8TLa6nErOhK7kog2eCS1J6soqvdT0LOArwFciYghZkjwtpVRuVou2GJlSagCIiCeAQZWsHBG9gQvJxke/N6U0Oy//J/AgcBpwfJlV704p/a6dMUtdkhdskCQpU8mFQoYDb6WU3oTs4iAly/sDQ1JKL7a1zabkeBXsDQwFvteUHOftPhIRE4FPRsSXUkqLSleMiIHAknb0ekudhr28kiRVrpIxyJOBFyLiQ80s/yjw/CpHVJmmS1vfXWbZPWRT0729zLKfAbOBeRHxv4j4SkREB8UoSZKkTqSSBBmyK+ldFxFf74hg2mFofj+lzLKmsuKlZRYBfwO+CXwQ+ALZGOrzgUs7JEJJkiR1KpVe2ONrwIHAORHxduCLKaUl1Q+rzQbk9wvKLJtfUoeU0l3ACj3gEXEJ2WWyx0TEb1JK/yltKCKOJx/LPHz48CqELUmSpDVVpQny/JTS4RHxHHAKsHlEfDylNLMDYmuLufl93zLL+pXUKSultDQizgIOAg4FVkqQU0oXk818wahRo9p7QqIkraSSmUamTMl+GBs2bFgrNZ1pRJJWRaVDLABIKX0H+AywF/DfiKiralRt1zSFW7n/Fk1l5YZflJqc32+wqgFJUkeZP38+8+d7XrEkdbRKe5CXSSldkV/Y489kJ8T9qVpBVeD+/H5P4JaSZXsAs4D/taGdLfP7qVWKS5LapJJe3qY5qsePH99R4UiSaGcPcpOU0u1kyelMoEN/y4uIjSNiq4gYUCi+HXgFOC4iBhXq7giMBv5UnOItIgaXabcv2XzJAH/vgNAlSZLUiVTSg/wD4LHSwpTS/yJid2AC8LZKNh4RRwOb5Q+HAH0i4jv54xdSSlcWqp8FHAPsA0zMt70oIr4CXAPcmZ9wtzbwVWAa8P2STd4UEY1kFxFpJJsF4yiyHuQLU0r3VRK/JEmSup5KLjX9gxaWvQF8sh3bP5bsYh9Fp+f3twNX0oqU0p8iYh7wHeAnZDNa3Ap8K6VUOv74WuDDwIlkl7aeAzwMfD+ldFU74pckSVIX0+4xyNWQUhpdQd0xwJhmlv0D+Ecb2jgbOLut25QkSVL302yCHBG3AQk4KKW0OH/cmpRS2q9q0UmSJEmrWUs9yHVkV86LwmPnAJZUU22dN7iSOYPBeYMlScs1myCnlEa09FiS1mTOFyxJaq+ajkGWpEq1tZfXOYMlSe21SvMgS5IkSV1NSyfpXdqO9lJK6dhViEeSJEmqqZaGWIxpR3uJbG5jSZIkqVNq6SQ9h19IkiSp2zEJliRJkgpMkCVJkqSCiqZ5i4hewIeB3YH1WDnB9iQ9SZIkdWptTpAjYn3g/4DtyK6ul1h+lb1UKDNBliRJUqdVyRCLM4CtgOOAkWQJ8UHA1sBVwP3A4GoHKEmSJK1OlSTI7wN+m1K6DJiVly1JKT2TUjoKmAecVe0AJUmSpNWpkgR5I7JeYoDF+X2/wvK/Ah+sQkySJElSzVSSIL8BDMz/fgtYBGxaWL6I7MQ9SZIkqdOqJEH+H7ANQEppKfAwMCYi+kbEAODTQEP1Q5QkSZJWn0oS5H8BH4uIvvnjn5JN9/YG8BowCjivuuFJkiRJq1cl8yCfCfwkpbQAIKX0x4hYDBwFLAGuTSld0wExSpIkSatNmxPklFICFpSU/Rn4c7WDkiRJkmrFS01LkiRJBZVeanogcCSwJdlFQaKkipealiRJUqdWyaWm3wX8DVi/hWpealqSJEmdWiVDLC4ElgIfAtZPKfUoc+vZMWFKkiRJq0clQyy2Ab6XUvp7RwUjSZIk1VolPcivkF0tT5IkSeqyKkmQfw0cGREOo5AkSVKXVckQi7OAocDdETEBmEx2gZAVpJTuqE5okiRJ0upXSYLcn2xqt3eS9SaXCrJZLOxhliRJ6uImTJhAQ0NDVdusr68HYNy4cVVtt66ujrFjx7a5fiUJ8s+BTwB/Be4E3qwoMkmSJHUZDQ0NPPLUIyxar3qnqPVcmvWz3v/q/VVrs/ebvStep5IE+UPApSmlz1W8FUmSJHU5i9ZbxPT9p9c6jBYNvmVwxetUcpJeANVL5yVJkqQ1UCUJ8kRgjw6KQ5IkSVojVJIgnwTsHRFfi4g+HRSPJEmSVFOVjEH+P2AgMB74cUS8wsrTvKWU0shqBSdJkqqvrbMPTJkyBYBhw4a1qd1KZwqQ1lSVJMgvkk3jJkmSuoH58+fXOgSpJtqcIKeURndgHJIkaTVpay9v01y048eP78hwpDVOmxLkiBgEPApckFL6WceGJEmdX1eeQF+Suro2JcgppdkRMRiY08HxSDVVSVJTydg8E5DupytPoC9JXV0lY5DvAUZR/jLTUrfj2Dy1pqtOoC9JXV0lCfLJwG0RcS9weUrJE/bU5c6ErmSbjs2TJKlrqiRB/inwJlkP8jkRUQ/MLamTUkr7VSs4dR32tkqSpM6ikgS5jmyatxfzxxtWPxx1Np4JLamr89wEqfupZJq3ER0YhyRJnZ6/lkldQyU9yJIkdTuemyB1PxUnyBGxNrA/2ZALgAbg3ymlt6oZmCRJklQLFSXIEXEccC4wCIi8OAGzI+JrKaXfVDk+SZIkabVqc4IcER8ELibrMf4e8ES+aFvgRODiiHgtpfT3qkcpSZIkrSaV9CB/E3gK2D2lNLtQfmtEXEZ2IZFvASbIkiRJ6rR6VFB3R7ILhMwuXZCPP74iryNJkiR1WpUkyLB83HE5XllPkiRJnV4lCfKjwDERMbB0QUQMAsbkdSRJkqROq5IxyD8B/gw8FBEXAE/m5U0n6W0BfLS64UmSJEmrVyVX0vtrRJwAnA1cyPIhFQHMAU5IKV1f/RAldXWVXMq3rerr64HlF26oFi8PLEldX0XzIKeUfhERfwAOADYnS47ryS4UMrMD4pPUDTQ0NFA/6SFGDpxbtTb7L+qb/TH5laq1WT9nQNXakiStuSq+kl5KaQbwp+qHIqk7GzlwLuO3fbL1ijU0btI2tQ5BkrQaVDqLhSRJktSltdiDHBF/q7C9lFL60CrEI0mSJNVUa0Ms3l9he86FLEmSpE6txQQ5pdTqEIyIGE02s8WuQPXOhumCKjlTf8qUKQAMGzas1bqeVS9JklQ97R6DHBHbRcQNwK3AO4DvAltWK7Dubv78+cyfP7/WYUiSJHU7Fc9iERGbAqcDnwKWABcAZ6SUprejrW8DuwDvJJs27oWU0oh2tHMo8B1gR2ABWdL+zZTS82XqrgOcQXZRk8Fk09RdBPwypdShQ0Qq6eVtmrt1/PjxHRWOJEmSymhzghwR6wGnAl8E+gJXAd9JKU1ehe2fCbwBPASs254GIuKjwLVkl7keB6wDnATcFRGjUkqNhbp9gH8DO5Nd7OQp4BDgF8CGwGnt2w1JkiR1Fa0myBHRlyzh/BZZEvtv4FsppUeqsP2RKaWGfDtPAIMqWTkiepMlui8B700pzc7L/wk8SJbwHl9Y5TiysdJfTildmJddEhHXAadExGUppRdWYX8kSZLUybU4BjkiPgs8R9bTWw/sn1I6qErJMU3J8SrYGxgK/LopOc7bfQSYCHwyT6KbHAnMBS4paed8oDfwyVWMR5IkSZ1caz3Ivyabuu0B4I/AThGxUwv1U0rpvCrF1ha75vd3l1l2D7Av8HZgUkT0IBvv/FBKqfTst/uApYX2JGmVNDY20ntmbwbfMrjWobSo95u9aVza2HpFSepG2jIGOcgSx7YkjwlYnQny0Px+SpllTWXDgEnAekD/cnVTSgsiYnpeV5IkSd1YawnyPqslivYbkN8vKLNsfkmdluo21R9QbkFEHE8+lnn48OGVRymp2xk6dChTekxh+v4VT/CzWg2+ZTBDNxraekVJ6kZau1DI7asrkHaam9/3LbOsX0mdluo21Z9bbkFK6WLgYoBRo0Z5tUBJkqQurN0XCllDNA2cKzc0oqmsaUjFm8C8cnXzmToGU36ohiRJkrqRzp4g35/f71lm2R7ALOB/ACmlpWTzLe+cJ8RFu5E9Fw90UJySJEnqJDpNghwRG0fEVhFRHCd8O/AKcFxEDCrU3REYDfwppbSoUP8qsnHGxbmRIZvneTHZTB2SJEnqxiq+1HQ1RcTRwGb5wyFAn4j4Tv74hZTSlYXqZwHHkJ04OBEgpbQoIr4CXAPcGRGXAGsDXwWmAd8v2eQlwGeAn0bECLIr6R0KfITsctkrXZpakiRJ3UtNE2TgWLKLfRSdnt/fDlxJK1JKf4qIecB3gJ+QzVJxK9nV/qaU1F0YEfsDZwBHkI07rgdOBH6+CvshSZKkLqKmCXJKaXQFdccAY5pZ9g/gH21sZwZwQn6TJEmSVtBpxiBLkiRJq4MJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRQ63mQJUmS1Ak1NjbSe2ZvBt8yuNahtKj3m71pXNpY0TomyJIkdQETJkygoaGhqm3W19cDMG7cuKq2W1dXx9ixY6vaZmfga9R5mCBLktQFNDQ08MhTj7BovUVVa7Pn0p4A3P/q/VVrs/ebvavWVmfT0NBA/aSHGDlwbtXa7L+ob/bH5Feq1mb9nAFtqjd06FCm9JjC9P2nV23bHWHwLYMZutHQitYxQZYkqYtYtN6iTpGsdGcjB85l/LZP1jqMFo2btE2tQ6g5T9KTJEmSCkyQJUmSpAITZEmSJKnAMciSaq6xsZF5cwas8ePe6ucMoH9jZVMFSZI6H3uQJUmSpAJ7kCXV3NChQ2FhQ+c4s3toZVMFSZI6H3uQJUmSpAJ7kCWpg/R+s7qXYO35VnbRhiVrLalam73f7A0bVa05SeoSTJAlqQPU1dVVvc36OdklZUduNLJ6jW7UMbFKUmdmgixJHWDs2LFVb3PcuHEAjB8/vuptS5KWM0FWtzBhwgQaGhqq2mZ9fdab15S0VENdXV2HJFaSJKntTJDVLTQ0NPDIU4+waL1FVWuz59JsPOj9r95flfZ6v9m7Ku1IkqRVY4KsbmPReouYvv/0WofRrGqezCVJktrPad4kSZKkAhNkSZIkqcAEWZIkSSpwDLIkSZLapateEMkEWZIkSRXryhdEMkGWJElSxbryBZEcgyxJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklTgSXpayYQJE2hoaKhqm/X12VmpTYPvq6Wurq5DThKQJEndlwmyVtLQ0ED9pIcYOXBu1drsv6hv9sfkV6rWZv2cAVVrS5I6u8bGRnrPrO6ctB2h95u9aVzaWOswpBaZIFdBV+xxHTlwLuO3fbKq2662cZO2qXUIkiSpCzJBroKGhgYenvQ0C/oPqVqbvRdm9/c0TK9am33nTataW5LU2XW1zo2hQ4cypccUpu9fvf8bHWHwLYMZutHQWochtcgEuUoW9B/CS1seVuswWrTps9fVOgRJWmM4nExSc0yQJUndlsPJJJVjgixpjVA/Z0BVE4HG+VlP3tB+C6rWZv2cAYysWmuSpDWVCbKkmqurq6t6m/PysaCMqF5KO5KOiVWStGYxQZZUcx0xl3XTSVLjx4+vetuSpK7NK+lJkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVeKEQSZK6iN5v9mbwLYOr1l7Pt3oCsGStJVVrs/ebvWGjqjUndQgTZEmSuoCOuAx6/Zzsku0jN6reJdvZyEu2a81ngixJUhfgJdul6nEMsiRJklRggixJkiQVOMRC3UJjYyO9Z1b35JVq6/1mbxqXNtY6DEmSuj17kCVJkqQCe5DVLQwdOpQpPaYwff/ptQ6lWYNvGczQjYbWOgxJUgdpbGxk3pwBjJu0Ta1DaVH9nAH0b+zev2jagyxJkiQV2IMsSZK0GgwdOhQWNjB+2ydrHUqLxk3aBoZ271807UGWJEmSCmqaIEdEj4j4akQ8HRHzI+KliDg3Iga2cf3eEXFKRDwVEQsiYnpEXBcRW5WpOzoiUjO3f1R/7yRJktQZ1XqIxXnAl4G/AOcCW+ePd46I/VNKS5tbMSICuB44JL+/EBgCfBG4JyLelVIq9xvGxcCdJWUvr+qOSJIkqbwJEybQ0NDQar36+uzy5k1XcWxNXV1dh1xFsmYJckRsC5wI/DmldFih/HngAuBw4A8tNPEhsuT44pTS5wvrXwk8kbexf5n17k4p/W7V90CSJEnV1K9fv1qHANS2B/kIIIDzS8ovAX4MHEXLCfI++f1lxcKUUkNE3AkcGBHDU0ovlq6YD+FYklKa387YJUmS1EYd0cvbkWqZIO8KLAXuKxamlOZHxCP58pb0ze/nllnWVLY7UJog/4w8qY6IZ4GfAxeklFKbIy/R2NhI37mz2PTZ69rbxGrRd+40GhsX1DoMSZKkNVotT9IbCryeUiqXsU0BNoiIPi2sPym/37dYGBEDyBJjgE0LixYBfwO+CXwQ+AIwg6wH+9IKY5ckSVIXVcse5AFAc92Z8wt1FjZT53fAd4AfRsQc4BZgA+AH+X3T+gCklO4iG7e8TERcAtwIjImI36SU/lNuQxFxPHA8wPDhw1daPnToUF6c35eXtjxspWVrkk2fvY6hQwe3Ws8r/UiSpO6slj3Ic1k+TKJUv0KdslJKb5KdhFdPNjNFA9lwjYHA2Xm1WS0FkM+ScVb+8NAW6l2cUhqVUho1ZMiQlpqUJElSJ1fLHuRGYJuI6FtmmMUwsuEXzfUeA5BSepxsSrgtyIZsNKaUnouIc/IqT7chjsn5/QYtVepOvNKPJEnqzmrZg3x/vv3dioUR0Q/YCXigrQ2llJ5LKd2RUnouLzqErPf4rjasvmV+P7Wt25MkSVLXVcsE+RogASeVlH+ObOzw75sKImLjiNgqPwGvRRFxIrAdcF5KaU6hfKXBtxHRFzgtf/j3CuOXJElSF1SzIRYppccj4ufACRHxZ7KT5ZqupHc7K86BfBZwDNncxxObCiPiRrKxx0+SJdsHAh8GbgB+VLLJmyKiEXiQbHjHULK5lrcELkwp3YckSZK6vVpfavoksjHAxwPvA14nu2T091q6zHTB3cAngTH546eALwG/SiktKal7LVnyfCKwLjAHeBj4fkrpqvbvgiRJkrqSmibIeRJ7bn5rqd4YlifBxfLTgdPbuK2zWT67hSSpm3NKS0nNqXUPsiRJUrdRX+UvZY3zsxlzh/ar3pVy6+cMYGTVWuucTJAlSd2SU1pqdaurq6t6m/Pq67M/RlQvpR1Jx8TamZggS5IkrQZjx46tepvjxo0DYPz48VVvuzur5TRvkiRJ0hrHBFmSJEkqMEGWJEmSChyDrG6j95u9GXzLShdUbLeeb/UEYMlapVNut0/vN3vDRlVpSpIkrQITZHULHXE2bv2c7MzhkRtV6czhjTxrWJKkNYEJsroFzxyWJElt5RhkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkgl61DkCSurMJEybQ0NDQprr19fUAjBs3rtW6dXV1jB07dpVik6TuygRZkjqJfv361ToESeoWTJAlqYbs5ZWkNY8JssqqnzOAcZO2qVp7jfP7AjC034KqtVk/ZwAjq9aaJElSxgRZK6mrq6t6m/PysZOMqF5KO5KOiVWSurq2jn2vZNw7OPZdXYcJslbSER9uTR+u48ePr3rbkqSO4bh3dVcmyFXSd940Nn32uqq113vBDAAW9V23am32nTcNGFy19iRJnZO9vFLLTJCroCN+5q+vnwHAyLpqJrSDHZIgSZLUChPkKnBIgiRJUtfhlfQkSZKkAhNkSZIkqcAhFpKkbss53yWVY4IsSeqWnPNdUnNMkCVJ3ZInWEtqjmOQJUmSpAJ7kCVJktYgbb0UOFR2OXAvBd52JsiSJEmdlJcD7xgmyJIkSWsQe3lrzzHIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUkGvWgcgSZWYMGECDQ0Nrdarr68HYNy4cW1qt66ujrFjx65SbJKkrsEEWSpoa/IFlSVgJl+rX79+/WodgiSpkzJBltrJBKw2/KIhSepoJshSgcmXJEnyJD1JkiSpwARZkiRJKjBBliRJkgpMkCVJkqQCE2RJkiSpoKYJckT0iIivRsTTETE/Il6KiHMjYmAb1+8dEadExFMRsSAipkfEdRGxVTP114mICyNiSr69SRExNiKiunsmSZKkzqrWPcjnAT8FngROBP4EfBn4e0S0GFue1F4P/Ah4BvgqcAHwHuCeiNimpH4f4N/AF4Br8u09A/wC+H71dkmSJEmdWc3mQY6IbcmS1D+nlA4rlD9PlugeDvyhhSY+BBwCXJxS+nxh/SuBJ/I29i/UPw7YFfhySunCvOySiLgOOCUiLkspvbDqeyZJkqTOrJY9yEcAAZxfUn4JMBc4qpX198nvLysWppQagDuB/SJieGHRkXm7l5S0cz7QG/hkG+OWJElSF1bLBHlXYClwX7EwpTQfeCRf3pK++f3cMsuaynaHbKwzsAvwcN5+0X15HK1tT5IkSd1ALRPkocDrKaUFZZZNATbIxw03Z1J+v2+xMCIGkCfGwKb5/XpA/7zdFeTbnw4Ma3vokiRJ6qpqmSAPAMolxwDzC3Wa8zvgNeCHEfG5iNg8InYFrgU2KFm/6b6l7TW7rYg4PiIeiIgHpk2b1kJIkiRJ6uxqmSDPZfkwiVL9CnXKSim9SXYSXj1wMdBANlxiIHB2Xm1WSTstba+lbV2cUhqVUho1ZMiQ5qpJkiSpC6hlgtxINoyiXNI6jGz4xcKWGkgpPZ5S2hnYEtgb2DKltDfLE+Gn8/s3gXmUGUaRb38wZYZfSJIkqfupZYJ8f7793YqFEdEP2Al4oK0NpZSeSyndkVJ6Li86hKz3+K58+VLgIWDnMgn5bnkcbd6eJEmSuq5aJsjXAAk4qaT8c2TjgX/fVBARG0fEVvkJeC2KiBOB7YDzUkpzCouuyts9vmSVk4DFwB8rjF+SJEldUM0uFJJSejwifg6cEBF/Bm4Etia7kt7trHiRkLOAY8jmPp7YVBgRN5KNPX6SLNk+EPgwcAPZFfaKLgE+A/w0IkYATwGHAh8BzkgpPV/VHZQkSVKnVLMEOXcSMJmsV/d9wOvAhcD38mERrbmb7AIfY/LHTwFfAn6VUlpSrJhSWhgR+wNnkF2kZDDZCX4nAj9fxf2QJElSF1HTBDlPYs/Nby3VG8PyJLhYfjpwegXbmwGckN8kSZKkldRyDLIkSZK0xjFBliRJkgpqPQZZkqQ12oQJE2hoaGhT3fr6egDGjRvXat26ujrGjh27SrFJ6hgmyJIkVUm/fv1aryRpjWeCLElSC+zllbofxyBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUoEJsiRJklRggixJkiQVmCBLkiRJBSbIkiRJUkGvWgegzm3ChAk0NDS0Wq++vh6AcePGtanduro6xo4du0qxSZIktYcJslaLfv361ToESZKkNjFB1iqxl1eSJHU1jkGWJEmSCkyQJUmSpAITZEmSJKnABFmSJEkq8CS91aitU6JBZdOiOSWaJElS9Zggr6GcFk2SJKk2TJBXI3t5JUmS1nyOQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSowQZYkSZIKIqVU6xg6lYiYBrxQ6zg6qQ2A12sdhLoVjznVgsedVjePufbbLKU0pLTQBFmrTUQ8kFIaVes41H14zKkWPO60unnMVZ9DLCRJkqQCE2RJkiSpwARZq9PFtQ5A3Y7HnGrB406rm8dclTkGWZIkSSqwB1mSJEkqMEGWJEmSCkyQu5CIGB0RqXBbEhFvRsQTEXFFRBwcEVHrOGslInaLiAsi4q6ImJ0/R2NqHVdn5jHXvMgcFRFXR8RzETE3Il6MiL9FxO61jq+z8pirTER8sfBcbVDreDojj7m2iYj3RcQt+XMzNyL+FxEX1Tqu9upV6wDUIa4CbgQCWAt4B/Bh4NPALRHx8ZTSjJpFVzuHAl8CngYeBd5V23C6FI+5lfUFrgQeAa4Gngc2Br4A3B0Rn04p/a524XV6HnOtiIihwFnAbGBQjcPpCjzmmhER3wdOA24Gvg/MBYYDO9QwrFWTUvLWRW7AaCAB3yizrCdwbr78nzWOc60abXdDYGD+98fy52JMrV+3znzzmGtxm72AvcuUb0h2xaupQI9av4ad7eYxV1EMfwEeJvuiloANah1TZ7x5zLW63f3z/f9urV+rat4cYtFNpJSWpJS+DvwHODgi3lNcHhHrRMTZ+U/BCyJiWkRcFRF1pW1FxIiIuC4iZkXEzIi4PiI2j4jJETGxpG6KiMsjYr+I+E9EzAb+Xlg+KiL+EhGv59t9JiJOjYiVft2IiC0j4sqIeCUiFubbGx8RA9v4HExNKc1p2zOmVdXdj7mU0uKU0u1lyqcCtwNvy2+qku5+zJW08xHgg8DngSWVrKu285gD4BTgNbJfK4iIQRHR6fNLh1h0P78B3gO8j+wNTUSsA/yX7OeQS4FJZD8FfxG4NyJGpZReyOsOBu4k6wX7JfAU8F7g/4Dm3kyjgMOAS4Armgoj4lCyHo7nyL6BvwHsCfwQ2An4eKHuO4HbgBnAr4ApwI7Al4F3R8TeKaVF7X1S1KE85la2CbAwb1vV162PuYhYG7gI+FVK6b6I+GJr62iVdctjLk+i9yIbenJsRHwPGArMi4i/AV/JOwU6n1p3YXur3o0WfgYq1Nklr3NdoexnwDxgx5K6mwGzgMsLZefk63+qpG5T+cSS8pTf9i8p7we8CtwB9CpZ9tV8ndGFskfJxg6vVVL3I7RjqAQOsfCYW83HXGH9Q/P1f1vr168z3jzm2vQcTQBeAdbJH1+OQyw85jrgmCNLphNZD/J8snHIHwF+SvbLxZPAgFq/hu25dfoucFVsVn6/NmRn2gOfInszTYmIDZpuwBzgHuDAwvofIPvgvaqk3Z+0sM1HU0q3lJQdQPZN+TJg3ZLt3pjXOTCPcXuygf5/APqW1P1PHueBaE3lMZeLiC3JxoNOAb5e6fpqs257zEXEu8iGVXwtpTSztfqqmu56zK2V3w8BTkgpnZZS+ktK6WvA6cDWwDGttLFGcohF97N2ft/0Zh4CDCZ7E0xrZp2lhb83B+5LKRXLSCm9FhEzmln/f2XKts7vL20h1g1L6v4gv7VUV2sejzkgIjYHbiXrbTkkpdTcvmvVdctjLiL6kP3cfktKqTTRUsfqlsccWQ85ZPtyZcmyK8hmtBhN9qtGp2KC3P00TbnyTH7fNHfjLcDZHbTNuWXKmrY7jmwarHIaS+qeC9zUTN032xWZVoduf8xFxAiysYSDgP1SSo+3dV21S3c95r4EbAV8PSK2KJQ39fJtHhFrp5QaWmlHleuux9zLTfVSSgtKlr2S36/XShtrJBPk7ufY/P6G/H4a2eD8tcv8VFPOZGCLiOhR/KYbEW8D1q0gjmfz+zlt2G5T3SVtjFFrlm59zEXEZmTJ8Tpk4wUfXpX21Cbd9ZjbjOwCYP9sZvl9ZD+bOydy9XXLYy6lNDUiXgQ2jYgBKaVi0r5Jfv9ae9quNccgdxMR0TMifkJ2lu2NKaW7API34u+B3SLiY82sW5yK6u9kZ+EeUVLtGxWGdDPZm+bkiFi/zDb7R0RTr8fDwBPAF6L81Di9yrWh2vKYW5YcTyTrQTkwpfRghTGrAh5zXEY2Q0HpbWK+/LPAURXug1rgMQdkQyuCbOx70dj8/kY6ocjPQlQXEBGjyXqqmq72Ayte7Wcz4F/AJ4onb+RT0UwkOxv1j2QnDyzM6x8KPJhSGpPX3YDsrNchZGOKnib7YHg32VQ0T6SU9im0nYArmtYvifcg4K9kV3m6lGxKmnXJfiL8KPCRlNLEvO5OZFPR9GH5dDkDgC3yut9OKV3eyvOzGXB0/nBb4HDgz2QfEgBXpnzKHbWNx1zzx1z+T+hRsrGFF5L13pX6d+qsUyDViMdcy59z5UTE5WQnSg1JKb1e6frdncdcq/9b1wbuBd4OXJzvx3vITlK8jaxzoPPNxV3raTS8Ve/G8qlomm5LgJlkB/wVwMEtrDsA+C7wONmg+7fI5mG8BNi9pO7mZInlW2QnJFyfl71O9g26WDdRmMqmzHa3A35Hdlb/QrKri/03j2X9krqbkc0POTmvOx14kGxy8k3b8fyU3kbX+jXsbDePuRafmxGtHG8ecx5zVf+ca2b7l+M0bx5zHXjMARuQJfaNeRsNwI+AfrV+/dp7swdZVRHZJOevk01M/4Vax6Ouz2NOq5vHnFY3j7nacQyyKhYR/csUfyu///fqjEXdg8ecVjePOa1uHnNrFnuQVbHIrgn/AvAA0BPYD3g/2c83e6XOONZIazSPOa1uHnNa3Tzm1iwmyKpYRHwd+DTZGMv+ZPMg/hn4QUrprRqGpi7KY06rm8ecVjePuTWLCbIkSZJU4BhkSZIkqcAEWZIkSSowQZYkSZIKTJAlSZKkAhNkSZIkqcAEWZIkSSr4f9KFWFNBry9aAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Third Experiment\n",
    "# NormErr versus Degree\n",
    "degree_set = [1, 2, 4, 6]\n",
    "fig, ax = plt.subplots()\n",
    "fig.set_figwidth(10)\n",
    "fig.set_figheight(10)\n",
    "Algs = [\"Linear\", \"PolyKer\", \"Rbf\"]\n",
    "Loss = []\n",
    "columns = []\n",
    "for i in range(len(degree_set)):\n",
    "    globals()[f\"Data_deg_{degree_set[i]}\"] = np.loadtxt(os.path.join('Degree', f\"Norm_Err_degree_{degree_set[i]}_Ker\"))\n",
    "    if i == 0:\n",
    "        Loss = globals()[f\"Data_deg_{degree_set[i]}\"]\n",
    "    else:\n",
    "        Loss = np.concatenate((Loss, globals()[f\"Data_deg_{degree_set[i]}\"]), axis=1)\n",
    "    columns = columns + [\"Linear\"+f\"{degree_set[i]}\", \"PolyKer\"+f\"{degree_set[i]}\", \"Rbf\"+f\"{degree_set[i]}\"]\n",
    "Loss_Data = pd.DataFrame(Loss, columns = columns)\n",
    "ax = sns.boxplot(data=Loss_Data, showfliers = False)\n",
    "# positions = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         positions.append((len(Algs)+1)*i+j+1)\n",
    "# colors = []\n",
    "# for i in range(len(ap_set)):\n",
    "#     for j in range(len(Algs)):\n",
    "#         colors.append(sns.color_palette()[j])\n",
    "# bp1 = ax.boxplot(x=Loss, showfliers = False, positions = positions, patch_artist=True)\n",
    "\n",
    "xticks = []\n",
    "xticklabels = []\n",
    "for i in range(len(degree_set)):\n",
    "    xticks.append(int(len(Algs)/2) + i * len(Algs))\n",
    "    xticklabels.append(f'Degree {degree_set[i]}')\n",
    "plt.setp(ax, xticks=xticks, xticklabels=xticklabels)\n",
    "boxes = ax.artists\n",
    "\n",
    "for i,box in enumerate(boxes):\n",
    "    for j in range(len(Algs)):\n",
    "        if Algs[j] in Loss_Data.columns[i]:\n",
    "            box.set_facecolor(sns.color_palette()[j])\n",
    "# for i,box in enumerate(boxes):\n",
    "#     box.set_facecolor(sns.color_palette()[i%len(Algs)])\n",
    "\n",
    "\n",
    "ax.set_title(\"Normalized Error Averaged on Test Set, 30 Trials\", fontsize = 22, y=1.10)\n",
    "ax.set_ylabel('Normalized Error', fontsize=18)\n",
    "ax.tick_params(axis='x', labelsize=18)\n",
    "ax.tick_params(axis='y', labelsize=18)\n",
    "x = 0.15\n",
    "y = 0.87\n",
    "fig.text(0.06+x, y+0.05, 'Linear',\n",
    "         backgroundcolor=sns.color_palette()[0], color='white', weight='roman',\n",
    "         size='x-large')\n",
    "fig.text(0.15+x, y+0.05, 'Polynomial Kernelized',\n",
    "         backgroundcolor=sns.color_palette()[1],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "fig.text(0.40+x, y+0.05, 'Radial Basis Function Kernelized',\n",
    "         backgroundcolor=sns.color_palette()[2],\n",
    "         color='white', weight='roman', size='x-large')\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment5-3.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment5-3.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "25784176",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fifth Experiment\n",
    "fig, ax = plt.subplots()\n",
    "fig.set_figwidth(10)\n",
    "fig.set_figheight(6)\n",
    "Algs = [\"Perceptron\", \"MOM-FTRL\", \"MOM-OGD\"]\n",
    "Linestyle = ['dotted', 'solid', 'dashed']\n",
    "for i in range(len(Algs)):\n",
    "    globals()[f\"Data_{Algs[i]}\"] = np.loadtxt(os.path.join('Online', f\"{Algs[i]}\"))\n",
    "    ax.plot(globals()[f\"Data_{Algs[i]}\"], color=sns.color_palette()[i], label=Algs[i], linewidth=5.0, linestyle=Linestyle[i])\n",
    "ax.legend(['Alg3: Perceptron', 'Alg1/4: MOM-FTRL', 'Alg2: MOM-OGD'], fontsize=22)\n",
    "ax.set_ylabel('Averaged Regret', fontsize=22)\n",
    "ax.set_xlabel('Time Step', fontsize=22)\n",
    "ax.tick_params(axis='x', labelsize=18)\n",
    "ax.tick_params(axis='y', labelsize=18)\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Experiment5-1.eps\", bbox_inches='tight')\n",
    "plt.savefig(\"Experiment5-1.jpg\", bbox_inches='tight')\n",
    "plt.show()"
   ]
  }
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